Vector bundles and 𝑆𝑂(3)-invariants for elliptic surfaces

Friedman, Robert

Journal of the American Mathematical Society, Tome 08 (1995) no. 1, pp. 29-139

Détail

DOI : 10.1090/S0894-0347-1995-1273414-4

Bibliographie

[1] Atiyah, M. F. Vector bundles over an elliptic curve Proc. London Math. Soc. (3) 1957 414 452

[2] Bauer, Stefan Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces J. Reine Angew. Math. 1992 149 180

[3] Bauer, Stefan Diffeomorphism types of elliptic surfaces with 𝑝_{𝑔} J. Reine Angew. Math. 1994 89 148

[4] Donaldson, S. K. Irrationality and the ℎ-cobordism conjecture J. Differential Geom. 1987 141 168

[5] Donaldson, S. K., Kronheimer, P. B. The geometry of four-manifolds 1990

[6] Fintushel, Ronald, Stern, Ronald J. 𝑆𝑂(3)-connections and the topology of 4-manifolds J. Differential Geom. 1984 523 539

[7] Friedman, Robert Rank two vector bundles over regular elliptic surfaces Invent. Math. 1989 283 332

[8] Friedman, Robert, Morgan, John W. On the diffeomorphism types of certain algebraic surfaces. I J. Differential Geom. 1988 297 369

[9] Friedman, Robert, Morgan, John W. Smooth four-manifolds and complex surfaces 1994

[10] Fulton, William Intersection theory 1984

[11] Kametani, Yukio, Sato, Yoshihisa 0-dimensional moduli space of stable rank 2 bundles and differentiable structures on regular elliptic surfaces Tokyo J. Math. 1994 253 267

[12] Kotschick, Dieter On manifolds homeomorphic to 𝐶𝑃²#8\overline{𝐶𝑃}² Invent. Math. 1989 591 600

[13] Kotschick, D., Morgan, J. W. 𝑆𝑂(3)-invariants for 4-manifolds with 𝑏⁺₂ J. Differential Geom. 1994 433 456

[14] Kronheimer, P. B., Mrowka, T. S. Recurrence relations and asymptotics for four-manifold invariants Bull. Amer. Math. Soc. (N.S.) 1994 215 221

[15] Li, Jun Algebraic geometric interpretation of Donaldson’s polynomial invariants J. Differential Geom. 1993 417 466

[16] Morgan, John W. Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues Topology 1993 449 488

[17] Morgan, John W., Mrowka, Tomasz S. On the diffeomorphism classification of regular elliptic surfaces Internat. Math. Res. Notices 1993 183 184

[18] Morgan, John W., O’Grady, Kieran G. Differential topology of complex surfaces 1993

[19] O’Grady, Kieran G. Algebro-geometric analogues of Donaldson’s polynomials Invent. Math. 1992 351 395

[20] Qin, Zhenbo Equivalence classes of polarizations and moduli spaces of sheaves J. Differential Geom. 1993 397 415

[21] Serre, Jean-Pierre Cohomologie Galoisienne 1973

[22] Grothendieck, A. Éléments de géométrie algébrique. III. Étude cohomologique des faisceaux cohérents. II Inst. Hautes Études Sci. Publ. Math. 1963 91