Derived Algebraic Geometry
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[1] D. Mumford,et al. The irreducibility of the space of curves of given genus , 1969 .
[2] M. Schlessinger. Functors of Artin rings , 1968 .
[3] R. M. Vogt,et al. Topological Hochschild Homology , 2000 .
[4] G. Vezzosi,et al. Brave new algebraic geometry and global derived moduli spaces of ring spectra , 2003, math/0309145.
[5] J. Rognes. Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups , 2008 .
[6] A. Grothendieck,et al. Théorie des Topos et Cohomologie Etale des Schémas , 1972 .
[7] M. Spivakovsky. A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms , 1999 .
[8] Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology , 1999, math/9909192.
[9] D. Arinkin,et al. When is the self-intersection of a subvariety a fibration? , 2010, 1007.1671.
[10] Enumeration of Rational Curves Via Torus Actions , 1994, hep-th/9405035.
[11] On the variety of complexes , 1981 .
[12] K. Costello. Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4 , 2011, 1111.4234.
[13] Ib Madsen,et al. The cyclotomic trace and algebraic K-theory of spaces , 1993 .
[14] Douglas C. Ravenel,et al. Nilpotence and Periodicity in Stable Homotopy Theory. , 1992 .
[15] W. Dwyer,et al. Simplicial localizations of categories , 1980 .
[16] Monique Hakim,et al. Topos annelés et schémas relatifs , 1972 .
[17] Topological Automorphic Forms , 2007, math/0702719.
[18] J. Lurie. A Survey of Elliptic Cohomology , 2009 .
[19] Michael Cole,et al. Rings, Modules, and Algebras in Stable Homotopy Theory , 2007 .
[20] L. Illusie. Complexe cotangent et déformations II , 1971 .
[21] B. Shipley,et al. Equivalences of monoidal model categories , 2002, math/0209342.
[22] D. Harrison. Commutative algebras and cohomology , 1962 .
[23] D. Quillen. On the (co)homology of commutative rings , 1970 .
[24] Peter B. Shalen,et al. Varieties of group representations and splittings of 3-manifolds , 1983 .
[25] J. P. May,et al. The geometry of iterated loop spaces , 1972 .
[26] J.P.Pridham. Representability of derived stacks , 2010, 1011.2189.
[27] B. Fantechi,et al. The intrinsic normal cone , 1996, alg-geom/9601010.
[28] M. Hopkins. Algebraic topology and modular forms , 2002, math/0212397.
[29] C. Simpson. GEOMETRICITY OF THE HODGE FILTRATION ON THE ∞-STACK OF PERFECT COMPLEXES OVER X , 2005 .
[30] Yan Soibelman,et al. Homological mirror symmetry and torus fibrations , 2000 .
[31] B. Toën. Higher and derived stacks: a global overview , 2009 .
[32] Edward C. Hook. Equivariant cobordism and duality , 1973 .
[33] M. Kapranov. Rozansky–Witten invariants via Atiyah classes , 1997, Compositio Mathematica.
[34] S. Lichtenbaum,et al. THE COTANGENT COMPLEX OF A MORPHISM , 1967 .
[35] M. Artin,et al. Versal deformations and algebraic stacks , 1974 .
[36] Carlos T. Simpson,et al. Homotopy Theory of Higher Categories: THE MODEL STRUCTURE , 2010, 1001.4071.
[37] T. Pirashvili. Hodge decomposition for higher order Hochschild homology , 2000 .
[38] G. Vezzosi,et al. Homotopical Algebraic Geometry II: Geometric Stacks and Applications , 2004, math/0404373.
[39] D. Nadler,et al. Loop spaces and connections , 2010, 1002.3636.
[40] Craig Huneke,et al. Commutative Algebra I , 2012 .
[41] J. Millson,et al. The deformation theory of representations of fundamental groups of compact Kähler manifolds , 1988 .
[42] DG coalgebras as formal stacks , 1998, math/9812034.
[43] M. Kapranov,et al. Derived Hilbert schemes , 2000, math/0005155.
[44] D. M. Kan,et al. Homotopy Limits, Completions and Localizations , 1987 .
[45] Bertrand Toën,et al. Algèbres simpliciales S1-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs , 2011, Compositio Mathematica.
[46] Jim Stasheff,et al. Homotopy associativity of $H$-spaces. II , 1963 .
[47] Segal topoi and stacks over Segal categories , 2002, math/0212330.
[48] A. Haefliger. Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes , 1958 .
[49] route de Chartres,et al. Deformation quantization of algebraic varieties , 2008 .
[50] W. Fulton,et al. Intersection Theory: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete; 3 Folge; Band 2 , 1984 .
[51] M. André. Homologie des algèbres commutatives , 1974 .
[52] M. Kontsevich,et al. The Geometry of the Master Equation and Topological Quantum Field Theory , 1995, hep-th/9502010.
[53] A. Alekseev,et al. Lie group valued moment maps , 1997, dg-ga/9707021.
[54] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[55] L.Katzarkov,et al. Hodge theoretic aspects of mirror symmetry , 2008, 0806.0107.
[56] A. Grothendieck. Techniques de construction en géométrie analytique. VI. Étude locale des morphismes : germes d'espaces analytiques, platitude, morphismes simples , 1961 .
[57] Miss A.O. Penney. (b) , 1974, The New Yale Book of Quotations.
[58] D. Spencer,et al. On Deformations of Complex Analytic Structures, II , 1958 .
[59] Peter Gabriel,et al. Calculus of Fractions and Homotopy Theory , 1967 .
[60] B. Toën. Derived Azumaya algebras and generators for twisted derived categories , 2012, Inventiones mathematicae.
[61] Timo Schurg. Deriving Deligne-Mumford Stacks with Perfect Obstruction Theories , 2010, 1005.3945.
[62] J. Lurie. Higher Topos Theory , 2006, math/0608040.
[63] Bernhard Keller,et al. On differential graded categories , 2006, math/0601185.
[64] Julia E. Bergner,et al. A Survey of (∞, 1)-Categories , 2010 .
[65] B. Kostant,et al. Graded manifolds, graded Lie theory, and prequantization , 1977 .
[66] Jean-Pierre Serre,et al. Algèbre locale : multiplicités , 1957 .
[67] From Hag To Dag: Derived Moduli Stacks , 2002, math/0210407.
[68] J. Stasheff,et al. The Lie algebra structure of tangent cohomology and deformation theory , 1985 .
[69] Pu Zhang,et al. Triangulated Categories , 2021, Homological Theory of Representations.
[70] B. Toen. Derived Algebraic Geometry and Deformation Quantization , 2014, 1403.6995.
[71] A. Schwarz. Geometry of Batalin-Vilkovisky quantization , 1992, hep-th/9205088.
[72] Z. Fiedorowicz,et al. MacLane homology and topological Hochschild homology , 1992 .
[73] M. Kontsevich. Operads and Motives in Deformation Quantization , 1999, math/9904055.
[74] B. Conrad,et al. Approximation of versal deformations , 2002 .
[75] A. Grothendieck. Catégories cofibrées additives et complexe cotangent relatif , 1968 .
[76] Tom Leinster. A Survey of Definitions of n-Category , 2001 .
[77] G. Carlsson. Derived Completions in Stable Homotopy theory , 2007, 0707.2585.
[78] G. Vezzosi,et al. Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes , 2011, 1102.1150.
[79] I. Batalin,et al. Gauge Algebra and Quantization , 1981 .
[80] Virtual fundamental classes via dg-manifolds , 2007, math/0703214.
[82] T. Goodwillie. On the general linear group and Hochschild homology , 1985 .
[83] Bertrand Toën,et al. Au-dessous de SpecZ . , 2009 .
[84] G. Vezzosi,et al. A remark on K-theory and S-categories , 2002, math/0210125.
[85] A. Beilinson. p-adic periods and derived de Rham cohomology , 2011, 1102.1294.
[86] HKR Theorem for Smooth S-algebras , 2003, math/0306243.
[87] B. Mitchell. A quick proof of the Gabriel-Popesco theorem , 1981 .
[88] MATT STEVENSON,et al. ON THE DE RHAM COHOMOLOGY OF ALGEBRAIC VARIETIES , 2015 .
[89] Moduli of objects in dg-categories , 2005, math/0503269.
[90] R. Hartshorne. Residues And Duality , 1966 .
[91] B. Feigin,et al. Additive K-theory and crystalline cohomology , 1985 .
[92] C. Rezk,et al. A cartesian presentation of weak n–categories , 2009, 0901.3602.
[93] W. Dwyer,et al. Function complexes in homotopical algebra , 1980 .
[94] A. Kapustin. Topological Field Theory, Higher Categories, and Their Applications , 2010, 1004.2307.
[95] J. Lurie. Moduli Problems for Ring Spectra , 2011 .
[96] J. Francis. The tangent complex and Hochschild cohomology of $\mathcal {E}_n$-rings , 2011, Compositio Mathematica.
[97] A. Grothendieck. Technique de descente et théorèmes d'existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats , 1960 .
[98] B. Fresse. On the homotopy of simplicial algebras over an operad , 1999 .