## $2$-torsion instanton invariants

HTML articles powered by AMS MathViewer

- by Ronald Fintushel and Ronald J. Stern PDF
- J. Amer. Math. Soc.
**6**(1993), 299-339 Request permission

## References

- 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. 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. —,

*Spectral asymmetry and Riemannian geometry*. II, Math. Proc. Cambridge. Philos. Soc.

**78**(1975), 405-432. S.K. Donaldson,

*Connections, cohomology, and the intersection forms of*$4$

*-manifolds*, J. Differential Geom.

**24**(1986), 275-341. —,

*Polynomial invariants for smooth*$4$

*-manifolds*, Topology

**29**(1990), 257-315. —,

*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. S.K. Donaldson and P. B. Kronheimer,

*The geometry of four-manifolds*, Oxford Math. Monographs, Oxford University Press, Oxford, 1990. R. Fintushel and R. Stern,

*Instanton homology of Seifert fibered homology three spheres*, Proc. London Math. Soc.

**61**(1990), 109-137. —,

*Homotopy*$K3$

*-surfaces containing*$\Sigma (2,3,7)$, J. Differential Geom.

**34**(1991), 255-265. A. Floer,

*An instanton invariant for*$3$

*-manifolds*, Comm. Math. Phys.

**118**(1988), 215-240. D. Freed and K. Uhlenbeck,

*Instantons and four-manifolds*, Math. Sci. Res. Inst. Publ., vol. 1, Springer, Berlin, 1984. R. Friedman and J. W. Morgan,

*Complex versus differentiable classification of algebraic surfaces*, Topology Appl.

**32**(1989), 135-139. R. Gompf,

*Sums of elliptic surfaces*, J. Differential Geom.

**34**(1991), 93-114. R. Gompf and T. Mrówka,

*Irreducible four manifolds need not be complex*, Ann. of Math. (2) (to appear). 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). R. Mandelbaum,

*Decomposing analytic surfaces*, Geometric Topology; Proc. 1977 Georgia Topology Conference, Academic Press, New York, 1979, pp. 147-218. J. McLaughlin,

*Some subgroups of*$S{L_n}({{\mathbf {F}}_2})$, Illinois J. Math.

**13**(1969), 108-115. J. Morgan, T. Mrówka, and D. Ruberman,

*The*${L^2}$

*-moduli space on manifolds with cylindrical ends*, preprint. T. Mrówka,

*A local Mayer-Vietoris principle for Yang-Mills moduli spaces*, Ph.D. Thesis, Berkeley (1988). Y. Ruan,

*A universal constraint for Donaldson invariants*, J. Differential Geom.

**35**(1992), 711-722. W. Scharlau,

*Quadratic and Hermitian forms*, Grundlehren Math. Wiss., vol. 270, Springer-Verlag, Berlin, 1985. C. Taubes,

*Self-dual connections on*$4$

*-manifolds with indefinite intersection matrix*, J. Differential Geom.

**19**(1984), 517-560. —,

*Gauge theory on asymptotically periodic*$4$

*-manifolds*, J. Differential Geom.

**25**(1987), 363-430. —, ${L^2}$

*-moduli spaces on*$4$

*-manifolds with cylindrical ends*. I, Harvard preprint, 1990. K. Uhlenbeck,

*Connections with*${L^p}$

*bounds on curvature*, Comm. Math. Phys.

**83**(1982), 31-42. C.T.C. Wall,

*Diffeomorphisms of*$4$

*-manifolds*, J. London Math. Soc.

**39**(1964), 131-40. —,

*On simply connected*$4$

*-manifolds*, J. London Math. Soc.

**39**(1964), 141-49. —,

*On the orthogonal group of unimodular quadratic forms*, Math. Ann.

**147**(1962), 328-338. —,

*On the orthogonal group of unimodular quadratic forms*. II, J. Reine Angew. Math.

**213**(1963), 187-199.

## Additional Information

- © Copyright 1993 American Mathematical Society
- Journal: J. Amer. Math. Soc.
**6**(1993), 299-339 - MSC: Primary 57R55; Secondary 57N13, 58D29
- DOI: https://doi.org/10.1090/S0894-0347-1993-1168958-8
- MathSciNet review: 1168958