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 $\small{b_1(X)=0}$ and signature $\small{{\sigma}-(X)}$. In this paper we use Seiberg-Witten theory to prove that if X admits a spin alternating $\small{A_4}$ action, then $\small{b^+_2(X)}$ $\small{{\geq}}$ |$\small{{\sigma}{(X)}}$|/8+3 under some non-degeneracy conditions.
Keywords
spin 4-manifolds;alternating group actions;Seiberg-Witten theory;
Language
English
Cited by
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