Cutting and Pasting Zp-Manifolds(1)

Author:

Prevot Kenneth

Abstract

AbstractLet Mn and Nn be n-dimensional closed smooth oriented Zp-manifolds where p is an odd prime and Zp is the cyclic group of order p. This paper determines necessary and sufficient conditions under which Mn and Nn are equivalent under a special equivariant cut and past equivalence.The only invariants are (a) the Euler characteristics of the Zp-manifolds, (b) the Euler characteristics of the fixed point manifolds in each fixed point dimesnion with specified normal representations, and (c) the oriented Zp-stratified cobordism class of the Zp-manifolds.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The equivariant Euler characteristic;Journal of Pure and Applied Algebra;1991-03

2. Equivariant SKK and vector field bordism;Topology and its Applications;1988-02

3. Equivariant controllable cutting-pasting and cobordism with vector fields;Publications of the Research Institute for Mathematical Sciences;1987

4. Equivariant cobordism, vector fields, and the Euler characteristic;Journal of the Mathematical Society of Japan;1986-01-01

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