Alternating group actions on spin 4-manifolds
نویسندگان
چکیده
منابع مشابه
On Symmetric Group S3 Actions on Spin 4-manifolds
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 an odd type symmetric group S3 action preserving the spin structure, then b+2 (X) ≥ |σ(X)|/8 + 3 under some non-degeneracy conditions. We also obtain some information about IndS̃3 D, where S̃3 is the extension of S3 by Z2.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2008
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-15051