Alternating group actions on spin 4-manifolds

• Autores: Hongxia Li, Ximin Liu
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 102, Nº 1, 2008, págs. 59-72
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15051
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• Resumen

  • Let X be a smooth, closed, connected spin 4-manifold with b1(X)=0 and non-positive signature σ(X). In this paper we use Seiberg-Witten theory to prove that if X admits a spin alternating A5 action, then b+2(X)≥|σ(X)|/8+3 under some non-degeneracy conditions.