Dirichlet Branes and Mirror Symmetry
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Mark Gross | Balazs Szendroi | Alastair Craw | Michael R. Douglas | Graeme Segal | Anton Kapustin | Gregory W. Moore | Tom Bridgeland | G. Segal | P. Wilson | G. Moore | M. Douglas | M. Gross | Alastair Craw | A. Kapustin | P. M. H. Wilson | Paul S. Aspinwall | P. Aspinwall | T. Bridgeland | Balázs Szendrői | Michael R Douglas
[1] J. Lepowsky,et al. Vertex Operator Algebras and the Monster , 2011 .
[2] G. Moore,et al. Split states, entropy enigmas, holes and halos , 2007, hep-th/0702146.
[3] K. Hess. Rational homotopy theory , 2011 .
[4] N. Markarian. The Atiyah class, Hochschild cohomology and the Riemann–Roch theorem , 2006, math/0610553.
[5] M. Abouzaid. Homological Mirror Symmetry for Toric Varieties , 2009 .
[6] Y. Oh,et al. Lagrangian intersection floer theory : anomaly and obstruction , 2009 .
[7] Yan Soibelman,et al. Stability structures, motivic Donaldson-Thomas invariants and cluster transformations , 2008, 0811.2435.
[8] Paul Seidel,et al. Fukaya Categories and Picard-Lefschetz Theory , 2008 .
[9] K. Hori,et al. D-brane categories for orientifolds—the Landau-Ginzburg case , 2006, hep-th/0606179.
[10] Balázs Szendrői,et al. Non-commutative Donaldson–Thomas invariants and the conifold , 2008 .
[11] A. Nelson. Dynamical Breaking of Supersymmetry , 2008 .
[12] M. Thaddeus. Toric quotients and flips , 2008 .
[13] Richard P. Thomas,et al. Stable pairs and BPS invariants , 2007, 0711.3899.
[14] Jorge Vit'oria. Mutations Vs. Seiberg duality , 2007, 0709.3939.
[15] M. Gross,et al. Mirror Symmetry via Logarithmic Degeneration Data II , 2007, 0709.2290.
[16] M. Gross,et al. From real affine geometry to complex geometry , 2007, math/0703822.
[17] A. Alexeevski,et al. Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves , 2007 .
[18] J. Fuchs,et al. DUALITY AND DEFECTS IN RATIONAL CONFORMAL FIELD THEORY , 2006, hep-th/0607247.
[19] D. joyce. Holomorphic generating functions for invariants counting coherent sheaves on Calabi-Yau 3-folds , 2006, hep-th/0607039.
[20] K. Hori,et al. Orientifolds of Gepner models , 2004, hep-th/0401137.
[21] R. L. Karp,et al. Numerical Calabi-Yau metrics , 2006, hep-th/0612075.
[22] V. Ginzburg. Calabi-Yau algebras , 2006, math/0612139.
[23] Rekha R. Thomas,et al. Moduli of McKay quiver representations II: Gröbner basis techniques , 2006, math/0611840.
[24] R. Castaño-Bernard,et al. Lagrangian 3-torus fibrations , 2006, math/0611139.
[25] O. Ben-Bassat. Mirror symmetry and generalized complex manifolds. Part II. Integrability and the transform for torus bundles , 2006 .
[26] S. Nevens,et al. Derivative corrections to the Born-Infeld action through beta-function calculations in N=2 \boundary" superspace , 2006, hep-th/0606255.
[27] R. L. Karp,et al. D-Brane superpotentials in Calabi-Yau orientifolds , 2006, hep-th/0606180.
[28] J. Solomon,et al. Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions , 2006, math/0606429.
[29] E. Lupercio,et al. Topological Quantum Field Theories, Strings, and Orbifolds , 2006, hep-th/0605255.
[30] E. Witten,et al. Electric-Magnetic Duality And The Geometric Langlands Program , 2006, hep-th/0604151.
[31] O. Ben-Bassat. Mirror symmetry and generalized complex manifolds: Part I. The transform on vector bundles, spinors, and branes , 2006 .
[32] R. Bocklandt. Graded Calabi Yau algebras of dimension 3 , 2006, math/0603558.
[33] V. Pestun. Topological strings in generalized complex space , 2006, hep-th/0603145.
[34] T. Bridgeland. Derived categories of coherent sheaves , 2006, math/0602129.
[35] T. Bridgeland. Stability Conditions on a Non-Compact Calabi-Yau Threefold , 2005, math/0509048.
[36] S. Franco,et al. Gauge theories from toric geometry and brane tilings , 2005, hep-th/0505211.
[37] S. Yau,et al. The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds , 2005, hep-th/0503183.
[38] B. Kreußler,et al. Derived categories of irreducible projective curves of arithmetic genus one , 2005, Compositio Mathematica.
[39] Sheldon Katz,et al. Computation of Superpotentials for D-Branes , 2004, hep-th/0412209.
[40] F. Gmeiner,et al. Mirror symmetry for topological sigma models with generalized Kahler geometry , 2004, hep-th/0408169.
[41] M. Kontsevich,et al. Affine Structures and Non-Archimedean Analytic Spaces , 2004, math/0406564.
[42] R. Pandharipande,et al. Gromov–Witten theory and Donaldson–Thomas theory, I , 2003, Compositio Mathematica.
[43] Michael A. Mandell. Cochains and homotopy type , 2003, math/0311016.
[44] M. Gross,et al. Mirror Symmetry via Logarithmic Degeneration Data I , 2003, math/0309070.
[45] M. Flohr,et al. Conformal Field Theory , 2006 .
[46] Paul Seidel,et al. On the Fukaya Categories of Higher Genus Surfaces , 2006 .
[47] L. V. Keldysh. Fourier-Mukai Transforms in Algebraic Geometry , 2006 .
[48] Daniel Huybrechts,et al. Fourier-Mukai transforms in algebraic geometry , 2006 .
[49] Julia Collins,et al. HOMOLOGICAL ALGEBRA , 2021, Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34.
[50] Yi Li. Anomalies and graded coisotropic branes , 2006 .
[51] S. Donaldson. Some numerical results in complex differential geometry , 2005, math/0512625.
[52] A. Takahashi,et al. Matrix factorizations and representations of quivers II: Type ADE case , 2005, math/0511155.
[53] A. Takahashi. Matrix Factorizations and Representations of Quivers I , 2005, math/0506347.
[54] Rekha R. Thomas,et al. Moduli of McKay quiver representations I: the coherent component , 2005, math/0505115.
[55] A. Kapustin. Chiral de Rham complex and the half-twisted sigma-model , 2005, hep-th/0504074.
[56] E. Witten. Two-dimensional models with (0,2) supersymmetry: perturbative aspects , 2005, hep-th/0504078.
[57] D. joyce. Configurations in abelian categories. II. Ringel–Hall algebras , 2005, math/0503029.
[58] T. Bridgeland. T-structures on some local Calabi–Yau varieties , 2005, math/0502050.
[59] G. Hooft. 50 Years of Yang-Mills Theory , 2005 .
[60] Moduli schemes associated to -trivial threefolds as gradient schemes , 2005 .
[61] A. Kapustin,et al. Open String BRST Cohomology for Generalized Complex Branes , 2005, hep-th/0501071.
[62] J. Walcher. Stability of Landau-Ginzburg branes , 2004, hep-th/0412274.
[63] J. Sparks,et al. Toric Geometry, Sasaki–Einstein Manifolds and a New Infinite Class of AdS/CFT Duals , 2004, hep-th/0411238.
[64] D. Shih,et al. Minimal string theory , 2004, hep-th/0409306.
[65] C. Lazaroiu,et al. Localization and traces in open-closed topological Landau-Ginzburg models , 2004, hep-th/0404184.
[66] C. Lazaroiu. On the boundary coupling of topological Landau-Ginzburg models , 2003, hep-th/0312286.
[67] R. L. Karp,et al. Massless D-Branes on Calabi–Yau Threefolds and Monodromy , 2002, hep-th/0209161.
[68] M. Douglas,et al. The Spectrum of $BPS$ Branes on a Noncompact Calabi-Yau , 2000, hep-th/0003263.
[69] R. Osserman,et al. A Panoramic View of Riemannian Geometry. , 2005 .
[70] Yi Li. Topological sigma models and generalized geometries , 2005 .
[71] K. Costello. Topological conformal field theories and Calabi–Yau categories , 2004, math/0412149.
[72] J. Cardy. Boundary Conformal Field Theory , 2004, hep-th/0411189.
[73] C. Vafa,et al. Topological M-theory as unification of form theories of gravity , 2004, hep-th/0411073.
[74] D. joyce. Configurations in abelian categories. III. Stability conditions and identities , 2004, math/0410267.
[75] D. joyce. Configurations in abelian categories: IV. Invariants and changing stability conditions , 2004, math/0410268.
[76] M. Atiyah,et al. Twisted K-theory , 2004, math/0407054.
[77] M. Gross. Toric degenerations and Batyrev-Borisov duality , 2004, math/0406171.
[78] A. Kapustin,et al. On the Relation Between Open and Closed Topological Strings , 2004, hep-th/0405232.
[79] S. Yau,et al. Affine manifolds, SYZ geometry, and the 'Y' vertex , 2004, math/0405061.
[80] J. Fröhlich,et al. Kramers-wannier duality from conformal defects. , 2004, Physical review letters.
[81] P. Aspinwall. D-Branes on Calabi-Yau Manifolds , 2004, hep-th/0403166.
[82] J. Loftin,et al. Singular Semi-Flat Calabi-Yau Metrics on S^2 , 2004, math/0403218.
[83] C. Lazaroiu,et al. Superpotentials, A ∞ Relations and WDVV Equations for Open Topological Strings , 2004, hep-th/0402110.
[84] Marco Gualtieri,et al. Generalized Complex Geometry , 2004, University Lecture Series.
[85] A. Kapustin. Topological strings on noncommutative manifolds , 2003, hep-th/0310057.
[86] J. Teschner. On boundary perturbations in Liouville theory and brane dynamics in noncritical string theories , 2003, hep-th/0308140.
[87] K. Hori,et al. Orientifolds and mirror symmetry , 2003, hep-th/0303135.
[88] D. Sullivan,et al. Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra , 2002, math/0212358.
[89] K. Hori,et al. Notes on Orientifolds of Rational Conformal Field Theories , 2002, hep-th/0208141.
[90] C. Callan,et al. From the Born-Infeld Action , 2004 .
[91] Emanuele Macrì. Some examples of moduli spaces of stability conditions on derived categories , 2004 .
[92] D. joyce. Configurations in abelian categories—I: Basic properties and moduli stacks , 2003, math/0312190.
[93] A. Kapustin,et al. Stability Conditions For Topological D-branes: A Worldsheet Approach , 2003, hep-th/0311101.
[94] Y. Kawamata. Log Crepant Birational Maps and Derived Categories , 2003, math/0311139.
[95] P. Seidel. Homological mirror symmetry for the quartic surface , 2003, math/0310414.
[96] A. Okounkov,et al. Quantum Calabi-Yau and Classical Crystals , 2003, hep-th/0309208.
[97] A. Căldăraru. The Mukai pairing, II: the Hochschild-Kostant-Rosenberg isomorphism , 2003, math/0308080.
[98] A. Căldăraru,et al. The Mukai pairing, I: the Hochschild structure , 2003, math/0308079.
[99] T. Bridgeland. Stability conditions on $K3$ surfaces , 2003, math/0307164.
[100] B. Feix. Twistor spaces of hyperkähler manifolds with S1-actions , 2003 .
[101] A. Kapustin,et al. Topological Correlators in Landau-Ginzburg Models with Boundaries , 2003, hep-th/0305136.
[102] I. Brunner,et al. Landau-Ginzburg Realization of Open String TFT , 2003, hep-th/0305133.
[103] J. Gauntlett. Branes, Calibrations and Supergravity , 2003, hep-th/0305074.
[104] K. Intriligator,et al. The exact superconformal R-symmetry maximizes a , 2003, hep-th/0304128.
[105] Ilia Zharkov. Limiting behavior of local Calabi-Yau metrics , 2003, math/0304116.
[106] M. Zabzine,et al. Superconformal boundary conditions for the WZW model , 2003, hep-th/0304013.
[107] G. Moore. K-Theory from a physical perspective , 2003, hep-th/0304018.
[108] D. joyce. SPECIAL LAGRANGIAN SUBMANIFOLDS WITH ISOLATED CONICAL SINGULARITIES. V. SURVEY AND APPLICATIONS , 2003, math/0303272.
[109] D. joyce. Special Lagrangian Submanifolds with Isolated Conical Singularities. III. Desingularization, The Unobstructed Case , 2003, math/0302355.
[110] D. joyce. Special Lagrangian Submanifolds with Isolated Conical Singularities. IV. Desingularization, Obstructions and Families , 2003, math/0302356.
[111] A. Hanany,et al. On duality walls in string theory , 2003, hep-th/0301231.
[112] A. Kapustin,et al. D branes in Landau-Ginzburg models and algebraic geometry , 2002, hep-th/0210296.
[113] M. Zabzine,et al. N = 2 boundary conditions for non-linear sigma models and Landau-Ginzburg models , 2002, hep-th/0209098.
[114] P. Aspinwall. A point's point of view of stringy geometry , 2002, hep-th/0203111.
[115] A. Kapustin,et al. Remarks on A-branes, mirror symmetry, and the Fukaya category , 2001, hep-th/0109098.
[116] A. Kapustin,et al. Vertex Algebras, Mirror Symmetry, and D-Branes: The Case of Complex Tori , 2000, hep-th/0010293.
[117] T. Bridgeland. Stability conditions on triangulated categories , 2002, math/0212237.
[118] Richard P. Thomas. Stability conditions and the braid group , 2002, math/0212214.
[119] Alastair Craw,et al. Flops of G-Hilb and equivalences of derived categories by variation of GIT quotient , 2002, math/0211360.
[120] D. joyce. Special Lagrangian Submanifolds with Isolated Conical Singularities. II. Moduli spaces , 2002, math/0211295.
[121] M. Gross,et al. Affine manifolds, log structures, and mirror symmetry , 2002, math/0211094.
[122] Balázs Szendrői. Artin group actions on derived categories of threefolds , 2002, math/0210121.
[123] Margaret Symington. Four dimensions from two in symplectic topology , 2002, math/0210033.
[124] N. Hitchin. Generalized Calabi-Yau manifolds , 2002, math/0209099.
[125] S. Katz,et al. D-branes, open string vertex operators, and Ext groups , 2002, hep-th/0208104.
[126] T. Pacini. Deformations of Asymptotically Conical Special Lagrangian Submanifolds , 2002, math/0207144.
[127] M. Douglas,et al. Seiberg Duality for Quiver Gauge Theories , 2002, hep-th/0207027.
[128] M. Douglas,et al. Dirichlet branes, homological mirror symmetry, and stability , 2002, math/0207021.
[129] J. Distler,et al. D-Brane Monodromies, Derived Categories and Boundary Linear Sigma Models , 2002, hep-th/0206242.
[130] F. Denef. Quantum quivers and Hall / hole halos , 2002, hep-th/0206072.
[131] Jiun C. Chen. Flops and Equivalences of Derived Categories for Threefolds with Only Terminal Gorenstein Singularities , 2002 .
[132] Ilia Zharkov,et al. Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces II , 2002, math/0301222.
[133] Y. Kawamata. D-Equivalence and K-Equivalence , 2002, math/0205287.
[134] D. joyce. U(1)-invariant special Lagrangian 3-folds. III. Properties of singular solutions , 2002, math/0204343.
[135] P. Wagner,et al. General metrics of G2 holonomy and contraction limits , 2002, hep-th/0204064.
[136] S. Yau,et al. Duality and Fibrations on G_2 Manifolds , 2002, hep-th/0203217.
[137] D. Tong,et al. D-Brane probes of Special Holonomy Manifolds, and Dynamics of Script N = 1 Three-Dimensional Gauge Theories , 2002, hep-th/0202126.
[138] David Peifer,et al. A Geometric and Algebraic Description of Annular Braid Groups , 2002, Int. J. Algebra Comput..
[139] A. Brandhuber. G2 holonomy spaces from invariant three-forms , 2001, hep-th/0112113.
[140] A. Swann,et al. Cohomogeneity-one G2-structures , 2001, math/0111056.
[141] G. Gibbons,et al. Supersymmetric M3-branes and G2 manifolds , 2001, hep-th/0106026.
[142] I. Nakamura,et al. Hilbert schemes and simple singularities , 2002 .
[143] D. Freed. K-Theory in Quantum Field Theory , 2002, math-ph/0206031.
[144] S. Yau,et al. Categorical mirror symmetry in the elliptic curve , 2001 .
[145] S. Yau,et al. Special Lagrangian fibrations II: Geometry. A survey of techniques in the study of special Lagrangian fibrations , 2001 .
[146] D. joyce. U(1) -invariant special Lagrangian 3-folds. I. Nonsingular solutions , 2001, math/0111324.
[147] D. joyce. U(1)-invariant special Lagrangian 3-folds II. Existence of singular solutions , 2001, math/0111326.
[148] D. Tsimpis,et al. 05 0 v 3 3 0 Ja n 20 02 D-brane probes on G 2 , 2022 .
[149] Edward Goldstein. Calibrated fibrations on noncompact manifolds via group actions , 2001 .
[150] P. Aspinwall,et al. D-brane stability and monodromy , 2001, hep-th/0110071.
[151] J. Maldacena,et al. D-brane charges in five-brane backgrounds , 2001, hep-th/0108152.
[152] R. Kaufmann. Orbifolding Frobenius Algebras , 2001, math/0107163.
[153] N. Hitchin. Stable forms and special metrics , 2001, math/0107101.
[154] S. Gubser,et al. Gauge theory at large N and new G2 holonomy metrics , 2001, hep-th/0106034.
[155] M. Douglas,et al. D-Branes and N=1 Supersymmetry , 2001, hep-th/0105014.
[156] Richard P. Thomas. Moment maps, monodromy and mirror manifolds , 2001, math/0104196.
[157] Richard P. Thomas,et al. Special Lagrangians, stable bundles and mean curvature flow , 2001, math/0104197.
[158] A. Lawrence,et al. Derived Categories and Zero-Brane Stability , 2001, hep-th/0104147.
[159] R. P. Horja. Derived category automorphisms from mirror symmetry , 2001, math/0103231.
[160] Chiu-Chu Melissa Liu,et al. Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc , 2001, math/0103074.
[161] E. Sharpe. String orbifolds and quotient stacks , 2001, hep-th/0102211.
[162] E. Sharpe. Stacks and D-brane bundles , 2001, hep-th/0102197.
[163] C. Lazaroiu. Unitarity, D-brane dynamics and D-brane categories , 2001, hep-th/0102183.
[164] C. Lazaroiu. Generalized complexes and string field theory , 2001, hep-th/0102122.
[165] E. Martinec,et al. Noncommutative Solitons on Orbifolds , 2001, hep-th/0101199.
[166] C. Lazaroiu. On the structure of open-closed topological field theory in two-dimensions , 2000, hep-th/0010269.
[167] M. Douglas,et al. D-Branes on Calabi-Yau Manifolds , 2000, math/0009209.
[168] E. Sharpe. Recent developments in discrete torsion , 2000, hep-th/0008191.
[169] A. Bondal,et al. Reconstruction of a Variety from the Derived Category and Groups of Autoequivalences , 1997, Compositio Mathematica.
[170] K. Hori. Linear Models of Supersymmetric D-Branes , 2000, hep-th/0012179.
[171] A. Kovalev. Twisted connected sums and special Riemannian holonomy , 2000, math/0012189.
[172] A. Schwarz,et al. Introduction to M(atrix) theory and noncommutative geometry , 2000, hep-th/0107251.
[173] M. Gross. Examples of Special Lagrangian Fibrations , 2000, math/0012002.
[174] G. Moore. Some Comments on Branes, G-Flux and K-Theory , 2000, hep-th/0012007.
[175] D. joyce. Singularities of special Lagrangian fibrations and the SYZ Conjecture , 2000, math/0011179.
[176] D. Matessi. Some families of special Lagrangian tori , 2000, math/0011061.
[177] M. Kontsevich,et al. Homological mirror symmetry and torus fibrations , 2000, math/0011041.
[178] M. Douglas,et al. D-branes, categories and N=1 supersymmetry , 2000, hep-th/0011017.
[179] Sheldon Katz,et al. Versal deformations and superpotentials for rational curves in smooth threefolds , 2000, math/0010289.
[180] A. Tseytlin,et al. 3-branes on resolved conifold , 2000, hep-th/0010088.
[181] N. Leung. Mirror Symmetry Without Corrections , 2000, math/0009235.
[182] P. Aspinwall. A Note on the Equivalence of Vafa's and Douglas's Picture of Discrete Torsion , 2000, hep-th/0009045.
[183] T. Bridgeland. Flops and derived categories , 2000, math/0009053.
[184] P. Wilson,et al. Large Complex Structure Limits of K3 Surfaces , 2000, math/0008018.
[185] Nigel Hitchin,et al. THE GEOMETRY OF THREE-FORMS IN SIX DIMENSIONS , 2000 .
[186] B. Fiol,et al. BPS states and algebras from quivers , 2000, hep-th/0006189.
[187] S. Katz,et al. Mirror Symmetry for Open Strings , 2000, hep-th/0006047.
[188] C. Vafa,et al. D-Branes And Mirror Symmetry , 2000, hep-th/0005247.
[189] V. Schechtman,et al. Gerbes of chiral differential operators. III , 2000, math/0005201.
[190] J. Fuchs,et al. Projections in string theory and boundary states for Gepner models , 2000, hep-th/0003298.
[191] V. Schechtman,et al. Gerbes of chiral differential operators. II , 2000, math/0003170.
[192] M. Kreuzer,et al. Complete classification of reflexive polyhedra in four dimensions , 2000, hep-th/0002240.
[193] Cumrun Vafa,et al. Mirror Symmetry , 2000, hep-th/0002222.
[194] M. Douglas,et al. Stability and BPS branes , 2000, hep-th/0002037.
[195] V. Mathai,et al. D-branes, B fields and twisted K theory , 2000, hep-th/0002023.
[196] A. Polishchuk. A∞-Structures on an Elliptic Curve , 2000, math/0001048.
[197] Richard P. Thomas,et al. Braid group actions on derived categories of coherent sheaves , 2000, math/0001043.
[198] R. Thomas. Derived categories for the working mathematician , 2000, math/0001045.
[199] S. Katz,et al. Open string instantons and superpotentials , 1999, hep-th/9912151.
[200] J. Gomis,et al. Fractional branes and boundary states in orbifold theories , 1999, hep-th/9906242.
[201] M. Douglas,et al. D-branes on the Quintic , 1999, hep-th/9906200.
[202] V. Schechtman,et al. Gerbes of chiral differential operators , 1999, math/9906117.
[203] J. Maldacena,et al. Large N Field Theories, String Theory and Gravity , 1999, hep-th/9905111.
[204] Dominic Joyce,et al. Compact Manifolds with Special Holonomy , 2000 .
[205] A. Dancer,et al. The geometry and topology of toric hyperkahler manifolds , 2000 .
[206] G. Moore,et al. Nonlinear instantons from supersymmetric p-branes , 1999, hep-th/9911206.
[207] V. Turaev. Homotopy field theory in dimension 2 and group-algebras , 1999, math/9910010.
[208] A. Kapustin. D-branes in a topologically nontrivial B-field , 1999, hep-th/9909089.
[209] A. Milas,et al. INTERTWINING OPERATOR SUPERALGEBRAS AND VERTEX TENSOR CATEGORIES FOR SUPERCONFORMAL ALGEBRAS, I , 1999, math/0004039.
[210] M. Gross. Topological mirror symmetry , 1999, math/9909015.
[211] E. Witten,et al. String theory and noncommutative geometry , 1999, hep-th/9908142.
[212] A. Tseytlin. Born-Infeld action, supersymmetry and string theory , 1999, hep-th/9908105.
[213] Miles Reid,et al. Mukai implies McKay: the McKay correspondence as an equivalence of derived categories , 1999, math/9908027.
[214] J. Zuber,et al. Boundary conditions in rational conformal field theories , 1999, hep-th/9908036.
[215] Pierre Deligne,et al. Quantum Fields and Strings: A Course for Mathematicians , 1999 .
[216] N. Hitchin. Lectures on Special Lagrangian Submanifolds , 1999, math/9907034.
[217] D. Freed,et al. Anomalies in string theory with D-branes , 1999, hep-th/9907189.
[218] E. Elizalde. On the concept of determinant for the differential operators of quantum physics , 1999, hep-th/9906229.
[219] S. Salur. DEFORMATIONS OF SPECIAL LAGRANGIAN SUBMANIFOLDS , 1999, math/9906048.
[220] D. joyce. Quasi-ALE Metrics with Holonomy SU(m) and Sp(m) , 1999, math/9905043.
[221] D. joyce. Asymptotically Locally Euclidean Metrics with Holonomy SU(m) , 1999, math/9905041.
[222] D. Freed. Five Lectures on Supersymmetry , 1999 .
[223] Paul Seidel,et al. Graded Lagrangian submanifolds , 1999, math/9903049.
[224] Richard P. Thomas. An obstructed bundle on a Calabi-Yau 3-fold , 1999, math/9903034.
[225] O. Baues. Gluing Affine 2-Manifolds with Polygons , 1999 .
[226] E. Sharpe. D-branes, derived categories, and Grothendieck groups , 1999, hep-th/9902116.
[227] R. Bryant. Some examples of special Lagrangian Tori , 1999, math/9902076.
[228] P. Lu. Kähler–Einstein metrics on Kummer threefold and special Lagrangian tori , 1999 .
[229] Jean-Pierre Schneiders. Quasi-Abelian categories and sheaves , 1999 .
[230] M. Kapranov,et al. Kleinian singularities, derived categories and Hall algebras , 1998, math/9812016.
[231] C. Lazaroiu,et al. D-branes on non-abelian threefold quotient singularities , 1998, hep-th/9811201.
[232] Edward Witten. D-Branes And K-Theory , 1998, hep-th/9810188.
[233] D. Morrison,et al. Non-spherical horizons, I , 1998, hep-th/9810201.
[234] E. Sharpe. Kahler cone substructure , 1998, hep-th/9810064.
[235] T. Bridgeland. Equivalences of Triangulated Categories and Fourier–Mukai Transforms , 1998, math/9809114.
[236] M. Douglas,et al. D-branes and Discrete Torsion , 1998, hep-th/9807235.
[237] E. Witten,et al. Superconformal field theory on threebranes at a Calabi-Yau singularity , 1998, hep-th/9807080.
[238] B. Dubrovin. Geometry and analytic theory of Frobenius manifolds , 1998, math/9807034.
[239] C. Bachas. Lectures on D-branes , 1998, hep-th/9806199.
[240] A. Sen. Tachyon condensation on the brane antibrane system , 1998, hep-th/9805170.
[241] H. Nakajima,et al. McKay correspondence and Hilbert schemes in dimension three , 1998, math/9803120.
[242] V. Schechtman,et al. Chiral de Rham Complex , 1998, math/9803041.
[243] A. Polishchuk,et al. Categorical Mirror Symmetry: The Elliptic Curve , 1998, math/9801119.
[244] M. Douglas,et al. Fractional branes and wrapped branes , 1997, hep-th/9712230.
[245] V. Schomerus,et al. D-branes in Gepner models , 1997, hep-th/9712186.
[246] Zheng Yin,et al. Anomalies, branes, and currents , 1997, hep-th/9710206.
[247] J. Harvey,et al. On the Algebras of BPS States , 1996, hep-th/9609017.
[248] R. C. Mclean. Deformations of calibrated submanifolds , 1998 .
[249] J. Polchinski. Superstring theory and beyond , 1998 .
[250] R. Dijkgraaf. Fields, strings and duality , 1998 .
[251] J. Polchinski. An introduction to the bosonic string , 1998 .
[252] S. Kachru,et al. Conformal Theories and Strings on Orbifolds , 1998 .
[253] D. Freed. Special Kähler Manifolds , 1997, hep-th/9712042.
[254] J. Maldacena. The Large-N Limit of Superconformal Field Theories and Supergravity , 1997, hep-th/9711200.
[255] N. Hitchin. The moduli space of special Lagrangian submanifolds , 1997, dg-ga/9711002.
[256] A. Rudakov. Stability for an Abelian Category , 1997 .
[257] G. Moore,et al. K-theory and Ramond-Ramond charge , 1997, hep-th/9710230.
[258] M. Kontsevich,et al. Frobenius manifolds and formality of Lie algebras of polyvector fields , 1997, alg-geom/9710032.
[259] M. Gross. Special Lagrangian Fibrations I: Topology , 1997, alg-geom/9710006.
[260] W. Nahm. On electric-magnetic duality , 1997 .
[261] Yi-Zhi Huang. Two-Dimensional Conformal Geometry and Vertex Operator Algebras , 1997 .
[262] B. Zwiebach,et al. Tensor constructions of open string theories II: Vector bundles, D-branes and orientifold groups , 1997, hep-th/9707051.
[263] B. Zwiebach,et al. Tensor constructions of open string theories (I) foundations , 1997, hep-th/9705038.
[264] M. Douglas,et al. Orbifold resolution by D-branes , 1997, hep-th/9704151.
[265] E. Witten. SOLUTIONS OF FOUR-DIMENSIONAL FIELD THEORIES VIA M-THEORY , 1997, hep-th/9703166.
[266] M. Strassler,et al. Aspects of N = 2 supersymmetric gauge theories in three dimensions , 1997, hep-th/9703110.
[267] G. Papadopoulos,et al. Hyper-Kahler manifolds and multiply-intersecting branes , 1997, hep-th/9702202.
[268] K. Intriligator,et al. Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces , 1997, hep-th/9702198.
[269] B. Greene. String Theory on Calabi-Yau Manifolds , 1997, hep-th/9702155.
[270] Andrew Dancer,et al. Hyperkähler metrics of cohomogeneity one , 1997 .
[271] J. L. Potier. Lectures on Vector Bundles , 1997 .
[272] A. Tseytlin. On non-abelian generalisation of the Born-Infeld action in string theory , 1997, hep-th/9701125.
[273] W. Lerche. Introduction to Seiberg-Witten Theory and its Stringy Origin , 1996, hep-th/9611190.
[274] J. Harvey,et al. I-brane inflow and anomalous couplings on D-branes , 1996, hep-th/9605033.
[275] B. Fantechi,et al. The intrinsic normal cone , 1996, alg-geom/9601010.
[276] Richard P. Thomas. Gauge theory on Calabi-Yau manifolds , 1997 .
[277] Pierre Cartier,et al. A Rigorous Mathematical Foundation of Functional Integration , 1997 .
[278] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[279] Y. Oh,et al. Zero-loop open strings in the cotangent bundle and Morse homotopy , 1997 .
[280] Einstein type metrics and stability on vector bundles , 1997 .
[281] E. Witten,et al. TYPE IIB SUPERSTRINGS, BPS MONOPOLES, AND THREE-DIMENSIONAL GAUGE DYNAMICS , 1996, hep-th/9611230.
[282] A. Infirri. Partial Resolutions of Orbifold Singularities via Moduli Spaces of HYM-type Bundles , 1996, alg-geom/9610004.
[283] D. Diaconescu. D-branes, monopoles and Nahm equations , 1996, hep-th/9608163.
[284] S. Shenker,et al. Hypermultiplet moduli space and string compactification to three dimensions , 1996, hep-th/9608086.
[285] Ooguri,et al. Summing up Dirichlet Instantons. , 1996, Physical review letters.
[286] P. Wilson,et al. Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds , 1996, alg-geom/9608004.
[287] K. Intriligator,et al. Mirror symmetry in three dimensional gauge theories , 1996, hep-th/9607207.
[288] M. Douglas,et al. Branes intersecting at angles , 1996, hep-th/9606139.
[289] H. Ooguri,et al. D-branes on Calabi-Yau spaces and their mirrors , 1996, hep-th/9606112.
[290] S. Yau,et al. Mirror symmetry is T duality , 1996, hep-th/9606040.
[291] D. Orlov,et al. Equivalences of derived categories and K3 surfaces , 1996, alg-geom/9606006.
[292] S. Lang. Differential and Riemannian Manifolds , 1996 .
[293] K. Barron. A supergeometric interpretation of vertex operator superalgebras , 1996, q-alg/9603030.
[294] M. Douglas,et al. D-branes, quivers, and ALE instantons , 1996, hep-th/9603167.
[295] G. Laumon. Transformation de Fourier generalisee , 1996, alg-geom/9603004.
[296] M. Rothstein. Sheaves with connection on abelian varieties , 1996, alg-geom/9602023.
[297] G. Tian,et al. Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties , 1996, alg-geom/9602007.
[298] I. Reiten,et al. Tilting in Abelian Categories and Quasitilted Algebras , 1996 .
[299] Nergiz,et al. A quasiperiodic Gibbons-Hawking metric and spacetime foam. , 1995, Physical review. D, Particles and fields.
[300] J. Verdier,et al. Des catégories dérivées des catégories abéliennes , 1996 .
[301] D. Salamon,et al. Symplectic Floer-Donaldson theory and quantum cohomology , 1996 .
[302] D. Kutasov,et al. Chiral Rings, Singularity Theory and Electric-Magnetic Duality , 1995, hep-th/9510222.
[303] K. Intriligator,et al. Lectures on supersymmetric gauge theories and electric-magnetic duality , 1995, hep-th/9509066.
[304] A. Strominger,et al. Fivebranes, membranes and non-perturbative string theory , 1995, hep-th/9507158.
[305] S. Sawin. Direct sum decompositions and indecomposable TQFTs , 1995, q-alg/9505026.
[306] B. Greene,et al. Black hole condensation and the unification of string vacua , 1995, hep-th/9504145.
[307] A. Strominger. Massless black holes and conifolds in string theory , 1995, hep-th/9504090.
[308] I. Dolgachev. Mirror symmetry for lattice polarizedK3 surfaces , 1995, alg-geom/9502005.
[309] M. Blau,et al. Localization and Diagonalization: A Review of Functional Integral Techniques for Low-Dimensional Gauge Theories and Topological Field Theories , 1995, hep-th/9501075.
[310] D. Morrison,et al. Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties , 1994, hep-th/9412236.
[311] M. Kontsevich. Homological Algebra of Mirror Symmetry , 1994, alg-geom/9411018.
[312] A. King. MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS , 1994 .
[313] N. Seiberg. Electric-magnetic duality in supersymmetric non-Abelian gauge theories , 1994, hep-th/9411149.
[314] E. Witten,et al. Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory , 1994, hep-th/9407087.
[315] Jean-Luc Brylinski,et al. Loop Spaces, Characteristic Classes and Geometric Quantization , 1994 .
[316] Yi Hu,et al. Variation of geometric invariant theory quotients , 1994, alg-geom/9402008.
[317] B. Greene,et al. Measuring small distances in N=2 sigma models , 1993, hep-th/9311042.
[318] Ian T. Young,et al. mirror manifolds and spacetime topology change in string theory , 1993, hep-th/9309097.
[319] Daniel S. Freed,et al. Higher algebraic structures and quantization , 1992, hep-th/9212115.
[320] Victor V. Batyrev,et al. Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties , 1993, alg-geom/9310003.
[321] Y. Oh. Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks II: (ℂ Pn), ℝpn , 1993 .
[322] Yong-Geun Oh,et al. Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I , 1993 .
[323] James Lepowsky,et al. On Axiomatic Approaches to Vertex Operator Algebras and Modules , 1993 .
[324] Christian Bär. Real Killing spinors and holonomy , 1993 .
[325] D. Morrison. Compactifications of moduli spaces inspired by mirror symmetry , 1993, alg-geom/9304007.
[326] P. Candelas,et al. GENERALIZED CALABI-YAU MANIFOLDS AND THE MIRROR OF A RIGID MANIFOLD * , 1993, hep-th/9304045.
[327] Richard B. Melrose,et al. The Atiyah-Patodi-Singer Index Theorem , 1993 .
[328] P. Aspinwall,et al. Topological field theory and rational curves , 1991, hep-th/9110048.
[329] P. Wilson. The Kähler cone on Calabi-Yau threefolds , 1992 .
[330] P. Ginsparg,et al. Lectures on 2D gravity and 2D string theory (TASI 1992) , 1992, hep-th/9304011.
[331] E. Witten. Chern-Simons gauge theory as a string theory , 1992, hep-th/9207094.
[332] Michèle Vergne,et al. Heat Kernels and Dirac Operators: Grundlehren 298 , 1992 .
[333] D. Lewellen. Sewing constraints for conformal field theories on surfaces with boundaries , 1992 .
[334] E. Witten. The N matrix model and gauged WZW models , 1992 .
[335] D. Morrison. Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians , 1992, alg-geom/9202004.
[336] J. Labastida,et al. Topological matter in two dimensions , 1991, hep-th/9112051.
[337] R. Dijkgraaf. Intersection theory, integrable hierarchies and topological field theory , 1992, hep-th/9201003.
[338] E. Witten. Mirror Manifolds And Topological Field Theory , 1991, hep-th/9112056.
[339] John D. S. Jones,et al. Differential forms on loop spaces and the cyclic bar complex , 1991 .
[340] Xenia de la Ossa,et al. A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory , 1991 .
[341] Zhenbo Qin. Chamber structures of algebraic surfaces with Kodaira dimension zero and moduli spaces of stable rank two bundles , 1991 .
[342] P. Wong,et al. Stein manifolds with compact symmetric center , 1991 .
[343] C. Vafa. TOPOLOGICAL LANDAU-GINZBURG MODELS , 1991 .
[344] V. Guillemin,et al. Grauert tubes and the homogeneous Monge-Ampère equation , 1991 .
[345] F. Quinn,et al. Lectures on axiomatic topological quantum field theory , 1991 .
[346] H. Verlinde,et al. Notes on topological string theory and 2-D quantum gravity , 1990 .
[347] Xenia de la Ossa,et al. Comments on Conifolds , 1990 .
[348] S. Yau,et al. Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds , 1990 .
[349] F. Reese Harvey,et al. Spinors and Calibrations , 1990 .
[350] B. Greene,et al. Duality in {Calabi-Yau} Moduli Space , 1990 .
[351] R. Kobayashi. Moduli of Einstein Metrics on a K3 Surface and Degeneration of Type I , 1990 .
[352] Masaki Kashiwara,et al. Sheaves on Manifolds , 1990 .
[353] G. Kempf. Complex abelian varieties and theta functions , 1990 .
[354] A. Todorov. The Weil-Petersson geometry of the moduli space ofSU(n≧3) (Calabi-Yau) manifolds I , 1989 .
[355] R. Dijkgraaf. A geometrical approach to two-dimensional Conformal Field Theory , 1989 .
[356] G. Lawlor. The angle criterion , 1989 .
[357] R. Bryant,et al. On the construction of some complete metrics with exceptional holonomy , 1989 .
[358] J. Polchinski,et al. New Connections Between String Theories , 1989 .
[359] S. Salamon. Riemannian geometry and holonomy groups , 1989 .
[360] J. Cardy. Boundary conditions, fusion rules and the Verlinde formula , 1989 .
[361] Robbert Dijkgraaf,et al. The operator algebra of orbifold models , 1989 .
[362] 田中 正,et al. SUPERSTRING THEORY , 1989, The Lancet.
[363] P. Kronheimer. The construction of ALE spaces as hyper-Kähler quotients , 1989 .
[364] N. Ishibashi. The Boundary and Crosscap States in Conformal Field Theories , 1989 .
[365] Y. Poon,et al. Hyper-Kähler metrics and a generalization of the Bogomolny equations , 1988 .
[366] A. Floer. A relative morse index for the symplectic action , 1988 .
[367] Edward Witten,et al. Topological quantum field theory , 1988 .
[368] D. Gepner. Space-time supersymmetry in compactified string theory and superconformal models , 1988 .
[369] F. Morgan. Geometric Measure Theory: A Beginner's Guide , 1988 .
[370] M. Roček,et al. Hyperkähler metrics and supersymmetry , 1987 .
[371] L. Dixon. SOME WORLD SHEET PROPERTIES OF SUPERSTRING COMPACTIFICATIONS, ON ORBIFOLDS AND OTHERWISE , 1987 .
[372] G. Tian. Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and Its Peterson-Weil Metric , 1987 .
[373] P. Nelson,et al. Bosonization on higher genus Riemann surfaces , 1987 .
[374] Armand Borel,et al. Algebraic D-modules , 1987 .
[375] S. Donaldson. Geometry of four-manifolds , 1990 .
[376] A. Sen,et al. Conformal invariance of supersymmetric σ-models on Calabi-Yau manifolds , 1986 .
[377] P. Nelson,et al. Bosonization in arbitrary genus , 1986 .
[378] M. Grisaru,et al. Four-Loop β-Function for the N = 1 And N = 2 Supersymmetric Non-Linear Sigma Model In Two Dimensions , 1986 .
[379] A. Kent,et al. Determinant Formulae and Unitarity for the N=2 Superconformal Algebras in Two-Dimensions or Exact Results on String Compactification , 1986 .
[380] Karen K. Uhlenbeck,et al. On the existence of hermitian‐yang‐mills connections in stable vector bundles , 1986 .
[381] Peter Gabriel,et al. Finite dimensional algebras , 1986 .
[382] D. Friedan,et al. Nonlinear models in 2 + ε dimensions☆ , 1985 .
[383] A. Kent,et al. Virasoro algebras and coset space models , 1985 .
[384] S. Donaldson. Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles , 1985 .
[385] P. G. Lauwers,et al. Lagrangians of N = 2 supergravity-matter systems , 1985 .
[386] R. Lockhart,et al. Elliptic differential operators on noncompact manifolds , 1985 .
[387] E. Witten,et al. Strings on orbifolds , 1985 .
[388] M. Hirsch,et al. The radiance obstruction and parallel forms on affine manifolds , 1984 .
[389] S. Gates,et al. Superspace or One Thousand and One Lessons in Supersymmetry , 1983, hep-th/0108200.
[390] Orlando Alvarez,et al. Theory of Strings with Boundaries: Fluctuations, Topology, and Quantum Geometry , 1983 .
[391] F. Almgren. $Q$ valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two , 1983 .
[392] G. Gonzalez-Sprinberg,et al. Construction géométrique de la correspondance de McKay , 1983 .
[393] A. Gray,et al. Riemannian manifolds with structure groupG2 , 1982 .
[394] Edward Witten,et al. Constraints on Supersymmetry Breaking , 1982 .
[395] Loring W. Tu,et al. Differential forms in algebraic topology , 1982, Graduate texts in mathematics.
[396] D. Friedan. INTRODUCTION TO POLYAKOV'S STRING THEORY , 1982 .
[397] 向井 茂. Duality between D(X) and D(X) with its application to Picard sheaves , 1982 .
[398] E. Witten. Supersymmetry and Morse theory , 1982 .
[399] K. Brown,et al. Graduate Texts in Mathematics , 1982 .
[400] D. Freedman,et al. The background field method and the ultraviolet structure of the supersymmetric nonlinear σ-model , 1981 .
[401] J. Glimm,et al. Quantum Physics: A Functional Integral Point of View , 1981 .
[402] C. Okonek,et al. Vector bundles on complex projective spaces , 1980 .
[403] N. Hitchin. Polygons and gravitons , 1979, Mathematical Proceedings of the Cambridge Philosophical Society.
[404] S. Chern. Complex manifolds without potential theory , 1979 .
[405] E. Calabi,et al. Métriques kählériennes et fibrés holomorphes , 1979 .
[406] S. Yau. On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I* , 1978 .
[407] Joe W. Harris,et al. Principles of Algebraic Geometry , 1978 .
[408] Dennis Sullivan,et al. Infinitesimal computations in topology , 1977 .
[409] M. C. R. Butler,et al. The Equivalence of Certain Functors Occurring in the Representation Theory of Artin Algebras and Species , 1976 .
[410] Ihrer Grenzgebiete,et al. Ergebnisse der Mathematik und ihrer Grenzgebiete , 1975, Sums of Independent Random Variables.
[411] Vladimir I Arnol'd. CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS , 1975 .
[412] V. Arnold. Critical Points of Smooth Functions , 1975 .
[413] M. S. Narasimhan,et al. On the cohomology groups of moduli spaces of vector bundles on curves , 1975 .
[414] G. Segal,et al. Categories and cohomology theories , 1974 .
[415] Auslander Maurice,et al. Representation Theory of Artin Algebras I , 1974 .
[416] T. Willmore. Algebraic Geometry , 1973, Nature.
[417] D. Mumford. An analytic construction of degenerating abelian varieties over complete rings , 1971 .
[418] Michael Francis Atiyah,et al. Introduction to commutative algebra , 1969 .
[419] Detlef Gromoll,et al. The structure of complete manifolds of nonnegative curvature , 1968 .
[420] R. Hartshorne. Residues and Duality: Lecture Notes of a Seminar on the Work of A. Grothendieck, Given at Harvard 1963 /64 , 1966 .
[421] Jim Stasheff,et al. Homotopy associativity of $H$-spaces. II , 1963 .
[422] C. Curtis,et al. Representation theory of finite groups and associated algebras , 1962 .
[423] A. Grothendieck,et al. Éléments de géométrie algébrique , 1960 .
[424] P. Mostert. On a Compact Lie Group Acting on a Manifold , 1957 .
[425] Donald Yau,et al. Categories , 2021, 2-Dimensional Categories.
[426] I. Holopainen. Riemannian Geometry , 1927, Nature.
[427] U. Lindström. N = 2 boundary conditions for non-linear sigma models and Landau-Ginzburg models , 2022 .