ON SPIN ALTERNATING GROUP ACTIONS ON SPIN 4-MANIFOLDS | Zendy

K. Kiyono | Zendy; Ximin Liu | Zendy

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ON SPIN ALTERNATING GROUP ACTIONS ON SPIN 4-MANIFOLDS

Author(s) -

K. Kiyono,

Ximin Liu

Publication year - 2006

Publication title -

journal of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.403

H-Index - 31

eISSN - 2234-3008

pISSN - 0304-9914

DOI - 10.4134/jkms.2006.43.6.1183

Subject(s) - mathematics , spin (aerodynamics) , degeneracy (biology) , manifold (fluid mechanics) , signature (topology) , group (periodic table) , pure mathematics , sigma , action (physics) , group action , combinatorics , mathematical physics , geometry , physics , quantum mechanics , mechanical engineering , bioinformatics , engineering , biology , thermodynamics

Let X be a smooth, closed, connected spin 4-manifold with b1(X) = 0 and signature æ(X). In this paper we use Seiberg- Witten theory to prove that if X admits a spin alternating A4 action, then b+ 2 (X) ‚ jæ(X)j=8 + 3 under some non-degeneracy conditions.

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