|
-torsion instanton invariants
Author(s):
Ronald
Fintushel;
Ronald J.
Stern
Journal:
J. Amer. Math. Soc.
6
(1993),
299-339.
MSC:
Primary 57R55;
Secondary 57N13, 58D29
MathSciNet review:
1168958
Retrieve article in:
PDF
This article is available free of charge
References |
Similar articles |
Additional information
References:
-
- [A]
- M.F. Atiyah, New invariants of 3 and 4 dimensional manifolds, The Mathematical Heritage of Hermann Weyl, Proc. Sympos. Pure Math., vol. 48, Amer. Math. Soc., Providence, RI, 1988, pp. 285-299. MR 974342 (89m:57034)
- [APS1]
- M.F. Atiyah, V.K. Patodi, and I.M. Singer, Spectral asymmetry and Riemannian geometry. I, Math. Proc. Cambridge Philos. Soc. 77 (1975), 43-69. MR 0397797 (53:1655a)
- [APS2]
- -, Spectral asymmetry and Riemannian geometry. II, Math. Proc. Cambridge. Philos. Soc. 78 (1975), 405-432. MR 0397798 (53:1655b)
- [D1]
- S.K. Donaldson, Connections, cohomology, and the intersection forms of
-manifolds, J. Differential Geom. 24 (1986), 275-341. MR 868974 (88g:57033) - [D2]
- -, Polynomial invariants for smooth
-manifolds, Topology 29 (1990), 257-315. MR 1066174 (92a:57035) - [D3]
- -, Yang-Mills invariants of four-manifolds, Geometry of Low-Dimensional Manifolds. 1, London Math. Soc. Lecture Note Ser., vol. 150, Cambridge Univ. Press, Cambridge, 1989, pp. 5-40. MR 1171888 (93f:57040)
- [DK]
- S.K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Oxford Math. Monographs, Oxford University Press, Oxford, 1990. MR 1079726 (92a:57036)
- [FS1]
- R. Fintushel and R. Stern, Instanton homology of Seifert fibered homology three spheres, Proc. London Math. Soc. 61 (1990), 109-137. MR 1051101 (91k:57029)
- [FS2]
- -, Homotopy
-surfaces containing , J. Differential Geom. 34 (1991), 255-265. MR 1114462 (92g:57037) - [F]
- A. Floer, An instanton invariant for
-manifolds, Comm. Math. Phys. 118 (1988), 215-240. MR 956166 (89k:57028) - [FU]
- D. Freed and K. Uhlenbeck, Instantons and four-manifolds, Math. Sci. Res. Inst. Publ., vol. 1, Springer, Berlin, 1984. MR 757358 (86c:57031)
- [FM]
- R. Friedman and J. W. Morgan, Complex versus differentiable classification of algebraic surfaces, Topology Appl. 32 (1989), 135-139. MR 1007985 (90f:57039)
- [G]
- R. Gompf, Sums of elliptic surfaces, J. Differential Geom. 34 (1991), 93-114. MR 1114454 (92f:57044)
- [GM]
- R. Gompf and T. Mrówka, Irreducible four manifolds need not be complex, Ann. of Math. (2) (to appear).
- [LPS]
- M.W. Liebeck, C.E. Praeger, and J. Saxl, The maximal factorizations of the finite simple groups and their automorphism groups, Mem. Amer. Math. Soc. No. 432 (1990). MR 1016353 (90k:20048)
- [M]
- R. Mandelbaum, Decomposing analytic surfaces, Geometric Topology; Proc. 1977 Georgia Topology Conference, Academic Press, New York, 1979, pp. 147-218. MR 537731 (80h:57013)
- [McL]
- J. McLaughlin, Some subgroups of
, Illinois J. Math. 13 (1969), 108-115. MR 0237660 (38:5941) - [MMR]
- J. Morgan, T. Mrówka, and D. Ruberman, The
-moduli space on manifolds with cylindrical ends, preprint. - [Mr]
- T. Mrówka, A local Mayer-Vietoris principle for Yang-Mills moduli spaces, Ph.D. Thesis, Berkeley (1988).
- [R]
- Y. Ruan, A universal constraint for Donaldson invariants, J. Differential Geom. 35 (1992), 711-722. MR 1163456 (93c:57025)
- [S]
- W. Scharlau, Quadratic and Hermitian forms, Grundlehren Math. Wiss., vol. 270, Springer-Verlag, Berlin, 1985. MR 770063 (86k:11022)
- [T1]
- C. Taubes, Self-dual connections on
-manifolds with indefinite intersection matrix, J. Differential Geom. 19 (1984), 517-560. MR 755237 (86b:53025) - [T2]
- -, Gauge theory on asymptotically periodic
-manifolds, J. Differential Geom. 25 (1987), 363-430. MR 882829 (88g:58176) - [T3]
- -,
-moduli spaces on -manifolds with cylindrical ends. I, Harvard preprint, 1990. - [U]
- K. Uhlenbeck, Connections with
bounds on curvature, Comm. Math. Phys. 83 (1982), 31-42. MR 648356 (83e:53035) - [W1]
- C.T.C. Wall, Diffeomorphisms of
-manifolds, J. London Math. Soc. 39 (1964), 131-40. MR 0163323 (29:626) - [W2]
- -, On simply connected
-manifolds, J. London Math. Soc. 39 (1964), 141-49. MR 0163324 (29:627) - [W3]
- -, On the orthogonal group of unimodular quadratic forms, Math. Ann. 147 (1962), 328-338. MR 0138565 (25:2009)
- [W4]
- -, On the orthogonal group of unimodular quadratic forms. II, J. Reine Angew. Math. 213 (1963), 187-199. MR 0155798 (27:5732)
Similar Articles:
Retrieve articles in Journal of the American Mathematical Society
with
MSC:
57R55,
57N13, 58D29
Retrieve articles in all Journals with
MSC:
57R55,
57N13, 58D29
Additional Information:
DOI:
10.1090/S0894-0347-1993-1168958-8
PII:
S0894-0347-1993-1168958-8
Copyright of article:
Copyright
1993,
American Mathematical Society
|