ON SPIN ALTERNATING GROUP ACTIONS ON SPIN 4-MANIFOLDS

Title & Authors
ON SPIN ALTERNATING GROUP ACTIONS ON SPIN 4-MANIFOLDS
Kiyono, Kazuhiko; Liu, Ximin;

Abstract
Let X be a smooth, closed, connected spin 4-manifold with $b_1(X) Keywords spin 4-manifolds;alternating group actions;Seiberg-Witten theory; Language English Cited by References 1. M. F. Atiyah, Bott periodicity and the index of ellptic operators, Quart. J. Math. Oxford Ser. (2) 19 (1968), 113-140 2. J. Bryan, Seiberg-Witten theory and$Z/2^p$actions on spin 4-manifolds, Math. Res. Letter 5 (1998), no. 1-2, 165-183 3. T. tom Dieck, Transformation Groups and Representation Theory, Lecture Notes in Mathematics, 766, Springer, Berlin, 1979 4. S. K. Donaldson, Connections, cohomology and the intersection forms of 4- manifolds, J. Differential Geom. 24 (1986), no. 3, 275-341 5. S. K. Donaldson, The orientation of Yang-Mills moduli spaces and 4-manifold topology, J. Differential Geom. 26 (1987), no. 3, 397-428 6. F. Fang, Smooth group actions on 4-manifolds and Seiberg-Witten theory, Differential Geom. Appl. 14 (2001), no. 1, 1-14 7. D. Freed and K. Uhlenbeck, Instantons and Four-manifolds, Springer, Berlin, 1991 8. M. Furuta, Monopole equation and${\frac{11}{8}}$-conjecture, Math. Res. Letter 8 (2001), no. 3, 279-291 9. M. Furuta and Y. Kametani, The Seiberg-Witten equations and equivariant e- invariants, (Priprint, 2001) 10. J. H. Kim, On spin$Z/2^p\$-actions on spin 4-manifolds, Topology Appl. 108 (2000), no. 2, 197-215

11.
R. Kirby, Problems in low-dimensional topology, AMS/IP Stud. Adv. Math., 2.2, Geometric topology (Athens, GA, 1993), 35-473, Amer. Math. Soc. Providence, RI, 1997

12.
Y. Matsumoto, On the bounding genus of homology 3-spheres, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 29 (1982), 287-318

13.
N. Minami, The G-join theorem-an unbased G-Freudenthal theorem, preprint

14.
J. P. Serre, Linear Representations of Finite Groups, Springer-Verlag, New York, 1977

15.
S. Stolz, The level of real projective spaces, Comment. Math. Helv. 64 (1989), no. 4, 661-674

16.
E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994), no. 6, 769-796