Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2006.11.01
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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.

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References

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