Bordism of two commuting involutions

被引：6

作者：

Pergher, PLQ ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 07期

关键词：

(Z(2))(2)-action; fixed data; bordism class; projective space bundle; Whitney number; Smith homomorphism;

D O I：

10.1090/S0002-9939-98-04356-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain conditions for a Whitney sum of three vector bundles over a closed manifold, epsilon(1) + epsilon(2) + epsilon(3) --> F, to be the fixed data of a (Z(2))(2)-action; these conditions yield the fact that if (epsilon(1) + R) + epsilon(2) + epsilon(3) --> F is the fixed data of a (Z(2))(2)-action, where R --> F is the trivial one dimensional bundle, then the same is true for epsilon(1) + epsilon(2) + epsilon(3) --> F. The results obtained, together with techniques previously developed, are used to obtain, up to bordism, all possible (Z(2))(2)-actions fixing the disjoint union of an even projective space and a point.

引用

页码：2141 / 2149

页数：9