Symmetric group actions on homotopy S2 x S2

被引：0

作者：

Liu, Ximin ^{[1
]}

Li, Hongxia ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2008年 / 153卷 / 01期

关键词：

homotopy S-2 x S-2; S-4-action; Seiberg-Witten theory;

D O I：

10.1007/s00605-007-0514-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a closed smooth 4-manifold which is homotopy equivalent to S-2 x S-2. In this paper we use Seiberg-Witten theory to prove that if X admits a spin symmetric group S-4 action of even type with b(2)(+) (X/S-4) = b(2)(+)(X), then as an element of R(S-4), Ind D-S4 (X) = k(1)(1 - theta) + k(2)(psi(1) - psi(2)) for some integers k(1) and k(2), where 1, theta, psi(1), psi(2) are irreducible characters of S-4 of degree 1, 1, 3, and 3 respectively.

引用

页码：49 / 57

页数：9

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