4-manifolds and Kirby calculus
暂无分享,去创建一个
[1] Paul Melvin,et al. The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C) , 1991 .
[2] S. J. Kaplan. Constructing framed 4-manifolds with given almost framed boundaries , 1979 .
[3] A. Sommese. On the density of ratios of Chern numbers of algebraic surfaces , 1984 .
[4] J. Harer. On handlebody structures for hypersurfaces in ℂ3 and ℂP3 , 1978 .
[5] Xiao Gang. Surfaces Fibrees en Courbes de Genre Deux , 1985 .
[6] N. Steenrod. The Topology of Fibre Bundles. (PMS-14) , 1951 .
[7] Robert E. Gompf. Stable diffeomorphism of compact 4-manifolds , 1984 .
[8] S. Akbulut,et al. Branched covers of surfaces in 4-manifolds , 1980 .
[9] Terry Fuller. Distinguishing embedded curves in rational complex surfaces , 1998 .
[10] M. Polyak,et al. A geometrical presentation of the surface mapping class group and surgery , 1994 .
[11] Robion Kirby,et al. A calculus for framed links inS3 , 1978 .
[12] N. Habegger,et al. Topological Auantum Field Theories derived from the Kauffman bracket , 1995 .
[13] Edwin E. Moise,et al. Affine structures in 3-manifolds, V, The triangulation theorem and Hauptvermutung , 1952 .
[14] Scharlemann's manifold is standard , 1997, math/9712255.
[15] Robert E. Gompf. A new construction of symplectic manifolds , 1995 .
[16] W. Browder. Surgery on Simply-Connected Manifolds , 1972 .
[17] B. Moishezon. Complex Surfaces and Connected Sums of Complex Projective Planes , 1977 .
[18] Patrick D. Shanahan. The Atiyah-Singer index theorem: An introduction , 1978 .
[19] T. Ohtsuki. Finite type invariants of integral homology 3-spheres , 1996 .
[20] J. Cerf. La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie , 1970 .
[21] S. Donaldson. Symplectic submanifolds and almost-complex geometry , 1996 .
[22] S. Donaldson. Lefschetz pencils on symplectic manifolds , 1999 .
[23] A. Kawauchi,et al. Algebraic classification of linking pairings on 3-manifolds , 1980 .
[24] P. Pao. Non-linear circle actions on the 4-sphere and twisting spun knots , 1978 .
[25] Akbulut's corks and h-cobordisms of smooth simply connected 4-manifolds , 1997, math/9712231.
[26] Klaus Lamotke,et al. The topology of complex projective varieties after S , 1981 .
[27] Knots, links, and 4-manifolds , 1996, dg-ga/9612014.
[28] Kim A. Frøyshov. The Seiberg-Witten equations and four-manifolds with boundary , 1996 .
[29] Robert E. Gompf. Killing the Akbulut-Kirby 4-sphere, with relevance to the Andrews-Curtis and Schoenflies problems , 1991 .
[30] Paul T. Norbury,et al. Notes on Geometry and 3-Manifolds , 2001 .
[31] James Eells,et al. A fibre bundle description of Teichmüller theory , 1969 .
[32] D. B. Fuks. Homotopic topology , 1973 .
[33] I. Shafarevich. Basic algebraic geometry , 1974 .
[34] S. Donaldson. Geometry of four-manifolds , 1990 .
[35] Daniel Ruberman. Imbedding four-manifolds and slicing links , 1982, Mathematical Proceedings of the Cambridge Philosophical Society.
[36] Quasipositivity as an obstruction to sliceness , 1993, math/9307233.
[37] T. Matumoto. Extension problem of diffeomorphisms of a 3-torus over some 4-manifolds , 1984 .
[38] Yakov Eliashberg,et al. Contact 3-manifolds twenty years since J. Martinet's work , 1992 .
[39] E. Bombieri. Canonical models of surfaces of general type , 1973 .
[40] Z. Szabó. Simply-connected irreducible 4-manifolds with no symplectic structures , 1998 .
[41] Y. Eliashberg. Classification of overtwisted contact structures on 3-manifolds , 1989 .
[42] J. Morgan,et al. The L[2]-moduli space and a vanishing theorem for Donaldson polynomial invariants , 1994 .
[43] Michael H. Freedman,et al. Topology of 4-Manifolds (PMS-39), Volume 39 , 1990 .
[44] Selman Akbulut,et al. A fake compact contractible 4-manifold , 1991 .
[45] A. Stipsicz. A note on the geography of symplectic manifolds , 1996 .
[46] M. Teicher,et al. Simply-connected algebraic surfaces of positive index , 1987 .
[47] L. Rudolph. The slice genus and the Thurston-Bennequin invariant of a knot , 1997 .
[48] Dusa McDuff,et al. Introduction to Symplectic Topology , 1995 .
[49] Yukio Matsumoto. Torus fibrations over the 2-sphere with the simplest singular fibers , 1985 .
[50] J. Amorós. Fundamental Groups of Compact Kähler Manifolds , 1996 .
[51] Zhi-jie Chen. The existence of algebraic surfaces with preassigned Chern numbers , 1991 .
[52] D. Mcduff. The local behaviour of holomorphic curves in almost complex 4-manifolds , 1991 .
[53] F. Laudenbach,et al. A note on 4-dimensional handlebodies , 1972 .
[54] Y. Miyaoka. The maximal number of quotient singularities on surfaces with given numerical invariants , 1984 .
[55] D. Mcduff. Examples of simply-connected symplectic non-Kählerian manifolds , 1984 .
[56] W. Thurston. Some simple examples of symplectic manifolds , 1976 .
[57] Robert E. Gompf,et al. Irreducible 4-manifolds need not be complex , 1993 .
[58] Yukio Matsumoto. LEFSCHETZ FIBRATIONS OF GENUS TWO - A TOPOLOGICAL APPROACH , 1996 .
[59] J. Morgan. The Seiberg-Witten equations and applications to the topology of smooth four-manifolds , 1995 .
[60] D. Mcduff. The structure of rational and ruled symplectic 4-manifolds , 1990 .
[61] R. Kirby,et al. Dedekind sums, μ-invariants and the signature cocycle , 1994 .
[62] Charles F. Miller. Decision Problems for Groups — Survey and Reflections , 1992 .
[63] Selman Akbulut,et al. An exotic 4-manifold , 1991 .
[64] Edited Rob Kirby,et al. Problems in Low-Dimensional Topology , 1995 .
[65] F. Hirzebruch. Automorphe Formen und der Satz von Riemann-Roch , 1958 .
[66] A moduli space of exotic 4 'S , 1989 .
[67] Emmanuel Giroux. Une structure de contact, même tendue, est plus ou moins tordue , 1994 .
[68] M. Freedman,et al. A decomposition theorem for h-cobordant smooth simply-connected compact 4-manifolds , 1996 .
[69] J. Munkres,et al. Elementary Differential Topology. , 1967 .
[70] R. Lathe. Phd by thesis , 1988, Nature.
[71] Jesse Freeman,et al. in Morse theory, , 1999 .
[72] J. Murakami,et al. On a universal perturbative invariant of 3-manifolds , 1998 .
[73] Alan H. Durfee,et al. Fifteen characterizations of rational double points and simple critical points , 1979 .
[74] S. Smale. The generalized Poincaré conjecture in higher dimensions , 1960 .
[75] J. Milnor. Singular points of complex hypersurfaces , 1968 .
[76] R. Stern,et al. IMMERSED SPHERES IN 4-MANIFOLDS AND THE IMMERSED THOM CONJECTURE , 1995 .
[77] U. Persson. Chern invariants of surfaces of general type , 1981 .
[78] Arnaud Beauville,et al. Complex Algebraic Surfaces , 1996 .
[79] Henry B. Laufer. Normal Two-Dimensional Singularities. , 1971 .
[80] Diffeomorphism types of genus 2 Lefschetz fibrations , 1998 .
[81] W. Lickorish,et al. An Introduction to Knot Theory , 1997 .
[82] R. Kirby,et al. Quantum invariants at the sixth root of unity , 1993 .
[83] Y. Eliashberg. Geometry of Low-dimensional Manifolds: Filling by holomorphic discs and its applications , 1991 .
[84] C. Taubes. THE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS , 1994 .
[85] Terry C. Lawson. h-Cobordisms between simply connected 4-manifolds , 1988 .
[86] Yukio Matsumoto. On $4$-manifolds fibered by Tori, II , 1982 .
[87] J. Morgan,et al. A product formula for the seiberg-witten invariants and the generalized thom conjecture , 1996 .
[88] S. Donaldson. Lefschetz Fibrations in Symplectic Geometry , 1998 .
[89] J. Harer,et al. Some homology lens spaces which bound rational homology balls. , 1981 .
[90] Robert E. Gompf. An exotic menagerie , 1993 .
[91] Yakov Eliashberg,et al. New applications of Luttinger’s surgery , 1994 .
[92] S. Akbulut. On 2-dimensional homology classes of 4-manifolds , 1977, Mathematical Proceedings of the Cambridge Philosophical Society.
[93] Y. Eliashberg. Unique holomorphically fillable contact structure on the 3-torus , 1996 .
[94] J. Milnor. Lectures on the h-cobordism theorem , 1965 .
[95] László Fuchs,et al. Infinite Abelian groups , 1970 .
[96] Spin c {structures and homotopy equivalences , 1997, math/9705218.
[97] Clifford Henry Taubes,et al. Gauge theory on asymptotically periodic {4}-manifolds , 1987 .
[98] J. Morgan,et al. Homotopy K3 surfaces and mod 2 Seiberg-Witten invariants , 1997 .
[99] J. Milnor,et al. ON 2-SPHERES IN 4-MANIFOLDS. , 1961, Proceedings of the National Academy of Sciences of the United States of America.
[100] Hisaaki Endo. Meyer's signature cocycle and hyperelliptic fibrations , 2000 .
[101] J. Harer,et al. Handlebody decompositions of complex surfaces , 1986 .
[102] B. Trace. On attaching $3$-handles to a $1$-connected $4$-manifold. , 1982 .
[103] Algebraic surfaces and Seiberg-Witten invariants , 1995, alg-geom/9502026.
[104] Chih-Han Sah,et al. Symmetric bilinear forms and quadratic forms , 1972 .
[105] Ronnie Lee,et al. Representing homology classes by locally flat surfaces of minimum genus , 1997 .
[106] N. Elkies. A characterization of the Z^n lattice , 1999, math/9906019.
[107] P. Lisca. Symplectic fillings and positive scalar curvature , 1998, math/9807188.
[108] Ding Fan. Smooth structures on some open 4-manifolds , 1997 .
[109] Tian-Jun Li. SMOOTHLY EMBEDDED SPHERES IN SYMPLECTIC 4-MANIFOLDS , 1999 .
[110] On the Donaldson polynomials of elliptic surfaces , 1994 .
[111] P. Kronheimer,et al. The Genus of Embedded Surfaces in the Projective Plane , 1994 .
[112] F. Hirzebruch. The signature of ramified coverings , 1969 .
[113] A. Stipsicz. Simply connected 4-manifolds near the Bogomolov-Miyaoka-Yau line , 1998 .
[114] R. Ho. Algebraic Topology , 2022 .
[115] N. Lu. A simple proof of the fundamental theorem of Kirby calculus on links , 1992 .
[116] W. Ebeling. An example of two homeomorphic, nondiffeomorphic complete intersection surfaces , 1990 .
[117] Periodic ends and knot concordance , 1989 .
[118] E. Groves. A Dissertation ON , 1928 .
[119] R. Mandelbaum. DECOMPOSING ANALYTIC SURFACES , 1979 .
[120] H. Whitney,et al. CLASSIFICATION OF ORIENTED SPHERE BUNDLES OVER A 4-COMPLEX , 1959 .
[121] H. Bass,et al. The Smith conjecture , 1984 .
[122] Robert E. Gompf. Sums of elliptic surfaces , 1991 .
[123] Y. Eliashberg. Symplectic geometry of plurisubharmonic functions , 1997 .
[124] Robert E. Gompf. Infinite families of casson handles and topological disks , 1984 .
[125] A. Kas. Complex Analysis and Algebraic Geometry: On the Deformation Types of Regular Elliptic Surfaces , 1977 .
[126] M. Scharlemann. Constructing strange manifolds with the dodecahedral space , 1976 .
[127] V. Turaev. Quantum Invariants of Knots and 3-Manifolds , 1994, hep-th/9409028.
[128] S. Donaldson. An application of gauge theory to four-dimensional topology , 1983 .
[129] Handlebody construction of Stein surfaces , 1998, math/9803019.
[130] M. Freedman,et al. A universal smoothing of four-space , 1986 .
[131] Rational blowdowns of smooth 4-manifolds , 1995, alg-geom/9505018.
[132] D. Kotschick. The Seiberg-Witten invariants of symplectic four-manifolds , 1996 .
[133] Tian-Jun Li,et al. Symplectic structure on ruled surfaces and a generalized adjunction formula , 1995 .
[134] B. Wajnryb. A simple presentation for the mapping class group of an orientable surface , 1983 .
[135] Y. Eliashberg. TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2 , 1990 .
[136] Vector bundles and $SO(3)$ invariants for elliptic surfaces II: The case of even fiber degree , 1993, alg-geom/9307003.
[137] Loring W. Tu,et al. Differential forms in algebraic topology , 1982, Graduate texts in mathematics.
[138] S. Yau,et al. Calabi's conjecture and some new results in algebraic geometry. , 1977, Proceedings of the National Academy of Sciences of the United States of America.
[139] Michael H. Freedman,et al. The topology of four-dimensional manifolds , 1982 .
[140] J. Milnor. On Manifolds Homeomorphic to the 7-Sphere , 1956 .
[141] Joe W. Harris,et al. Principles of Algebraic Geometry , 1978 .
[142] Zyun'iti Iwase. Good torus fibrations with twin singular fibers , 1984 .
[143] J. Morgan,et al. Smooth Four-Manifolds and Complex Surfaces , 1994 .
[144] Terry Fuller. Generalized nuclei of complex surfaces , 1999 .
[145] M. Ue,et al. On the diffeomorphism types of elliptic surfaces with multiple fibers , 1986 .
[146] F. Quinn. Ends of maps. III. Dimensions 4 and 5 , 1982 .
[147] C. Taubes. Counting pseudo-holomorphic submanifolds in dimension 4 , 1996 .
[148] Z. Szabó. Irreducible four-manifolds with small Euler characteristics , 1996 .