[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2006.43.6.1183

ON SPIN ALTERNATING GROUP ACTIONS ON SPIN 4-MANIFOLDS

Kiyono, Kazuhiko (Graduate School of Mathematical Sciences University of Tokyo)
Liu, Ximin (Department of Applied Mathematics Dalian University of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1183-1197 More about this Journal

Abstract

Let X be a smooth, closed, connected spin 4-manifold with $b_1(X)=0$ and signature ${\sigma}-(X)$ . In this paper we use Seiberg-Witten theory to prove that if X admits a spin alternating $A_4$ action, then $b^+_2(X)$ ${\geq}$ | ${\sigma}{(X)}$ |/8+3 under some non-degeneracy conditions.

Keywords

spin 4-manifolds; alternating group actions; Seiberg-Witten theory;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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