|
Vector bundles and -invariants for elliptic surfaces
Author(s):
Robert
Friedman
Journal:
J. Amer. Math. Soc.
8
(1995),
29-139.
MSC:
Primary 14J27;
Secondary 14D20, 14J60, 57R55
MathSciNet review:
1273414
Retrieve article in:
PDF
This article is available free of charge
References |
Similar articles |
Additional information
References:
-
- [1]
- M. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. 7 (1957), 414-452. MR 0131423 (24:A1274)
- [2]
- S. Bauer, Some nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces, J. Reine Angew. Math. 424 (1992), 149-180. MR 1144164 (93e:14043)
- [3]
- -, Diffeomorphism classification of elliptic surfaces with
, J. Reine Angew. Math. 451 (1994), 89-148. MR 1277296 (95d:14031) - [4]
- I. Dolgachev, Algebraic surfaces with
, Algebraic Surfaces, C.I.M.E. Cortona 1977, Liguori, Napoli, 1981, pp. 97-215. - [5]
- S. K. Donaldson, Irrationality and the
-cobordism conjecture, J. Differential Geom. 26 (1987), 141-168. MR 892034 (88j:57035) - [6]
- S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Clarendon, Oxford, 1990. MR 1079726 (92a:57036)
- [7]
- R. Fintushel and R. Stern,
-connections and the topology of -manifolds, J. Differential Geom. 20 (1984), 523-539. MR 788294 (86k:57014) - [8]
- R. Friedman, Rank two vector bundles over regular elliptic surfaces, Invent. Math. 96 (1989), 283-332. MR 989699 (90e:14016)
- [9]
- -, Stable vector bundles on algebraic varieties, in preparation.
- [10]
- R. Friedman and J. W. Morgan, On the diffeomorphism types of certain algebraic surfaces I, J. Differential Geom. 27 (1988), 297-369; II, J. Differential Geom. 27 (1988), 371-398. MR 925124 (89d:57046)
- [11]
- -, Smooth four-manifolds and complex surfaces, Ergebnisse Math. Grenzgeb. (3), vol. 27, Springer-Verlag, Berlin, Heidelberg, and New York, 1994. MR 1288304 (95m:57046)
- [12]
- W. Fulton, Intersection theory, Springer-Verlag, Berlin and Heidelberg, 1984. MR 732620 (85k:14004)
- [13]
- Y. Kametani and Y. Sato, 0-dimensional moduli spaces of stable rank 2 bundles and differentiable structures on regular elliptic surfaces, preprint. MR 1279587 (95g:14012)
- [14]
- D. Kotschick, On manifolds homeomorphic to
, Invent. Math. 95 (1989), 591-600. MR 979367 (90a:57047) - [15]
- -,
-invariants for -manifolds with , Proc. London Math. Soc. 63 (1991), 426-448. - [16]
- D. Kotschick and J. W. Morgan,
-invariants for -manifolds with II, J. Differential Geom. 39 (1994), 443-456. MR 1267898 (95g:57047) - [17]
- P. Kronheimer and T. Mrowka, Recurrence relations and asymptotics for four-manifold invariants, Bull. Amer. Math. Soc. (N.S.) 30 (1994), 215-221. MR 1246469 (94k:57046)
- [18]
- J. Li, Algebraic geometric interpretation of Donaldson's polynomial invariants of algebraic surfaces, J. Differential Geom. 37 (1993), 417-466. MR 1205451 (93m:14007)
- [19]
- J. W. Morgan, Comparison of the Donaldson polynomial invariants with their algebro-geometric analogues, Topology 32 (1993), 449-488. MR 1231956 (94m:57066)
- [20]
- J. W. Morgan and T. Mrowka, On the diffeomorphism classification of regular elliptic surfaces, Internat. Math. Research Notes 6 (1993), 183-184. MR 1224116 (94g:57035)
- [21]
- J. W. Morgan and K. O'Grady, Differential topology of complex surfaces elliptic surfaces with
: Smooth classification, Lecture Notes in Math., vol. 1545, Springer-Verlag, Berlin, Heidelberg, and New York, 1993. MR 1312610 (96e:14041) - [22]
- T. Mrowka, A local Mayer-Vietoris principle for Yang-Mills moduli spaces, Ph.D. thesis, Berkeley.
- [23]
- K. O'Grady, Algebro-geometric analogues of Donaldson's polynomials, Invent. Math. 107 (1992), 351-395. MR 1144428 (93d:14060)
- [24]
- Z. Qin, Equivalence classes of polarizations and moduli spaces of sheaves, J. Differential Geom. 37 (1993), 397-415. MR 1205450 (94f:14007)
- [25]
- J.-P. Serre, Cohomologie Galoisienne, Lecture Notes in Math., vol. 5, Springer-Verlag, Berlin, Heidelberg, and New York, 1973. MR 0404227 (53:8030)
- [EGA]
- A. Grothendieck and J. Dieudonné, Étude cohomologique des faisceaux cohérents, Inst. Hautes Études Sci. Publ. Math. 17 (1963), 137-223. MR 0163911 (29:1210)
Similar Articles:
Retrieve articles in Journal of the American Mathematical Society
with
MSC:
14J27,
14D20, 14J60, 57R55
Retrieve articles in all Journals with
MSC:
14J27,
14D20, 14J60, 57R55
Additional Information:
DOI:
10.1090/S0894-0347-1995-1273414-4
PII:
S0894-0347-1995-1273414-4
Copyright of article:
Copyright
1995,
American Mathematical Society
|