Alternating group actions on spin 4-manifolds

Authors

  • Hongxia Li
  • Ximin Liu

DOI:

https://doi.org/10.7146/math.scand.a-15051

Abstract

Let $X$ be a smooth, closed, connected spin 4-manifold with $b_1(X)=0$ and non-positive signature $\sigma(X)$. In this paper we use Seiberg-Witten theory to prove that if $X$ admits a spin alternating $A_5$ action, then $b_2^+(X)\geq |\sigma(X)|/8 +3$ under some non-degeneracy conditions.

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Published

2008-03-01

Issue

Vol. 102 No. 1 (2008)

Section

Articles

How to Cite

[1]
H. Li and X. Liu, “Alternating group actions on spin 4-manifolds”, Math. Scand., vol. 102, no. 1, pp. 59–72, Mar. 2008, doi: 10.7146/math.scand.a-15051.