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Alternating group actions on spin 4-manifolds

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Indexed by:期刊论文

Date of Publication:2008-01-01

Journal:MATHEMATICA SCANDINAVICA

Included Journals:SCIE

Volume:102

Issue:1

Page Number:59-72

ISSN No.:0025-5521

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 Sciberg-Witten theory to prove that if X admits a spin alternating A(5) action, then b(2)(+)(X) >= vertical bar sigma(X)vertical bar/8 + 3 under some non-degeneracy conditions.

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