(𝑍₂)^{𝑘}-actions with fixed point set of constant codimension 2^{𝑘}+1-Reference-Cited by-同舟云学术

(𝑍₂)^{𝑘}-actions with fixed point set of constant codimension 2^{𝑘}+1

Published:1999-08-03 Issue:5 Volume:128 Page:1515-1521
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Yanying Wang,Zhende Wu,Kai Ma

Abstract

The groups J n , k 2 k + 1 J_{n,k}^{2^k+1} of cobordism classes in the unoriented cobordism group M O n MO_n containing a representative M n M^n admitting a ( Z 2 ) k (Z_2)^k -action with fixed point set of constant codimension 2 k + 1 2^k+1 are determined.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-05/S0002-9939-99-05223-5/S0002-9939-99-05223-5.pdf

Reference5 articles.

1. Lecture Notes in Mathematics;Conner, Pierre E.,1979

2. On fibering of cobordism classes;Stong, R. E.;Trans. Amer. Math. Soc.,1973

3. Constant codimension fixed sets of commuting involutions;Shaker, R. J., Jr.;Proc. Amer. Math. Soc.,1994

4. Dold manifolds with (𝑍₂)^{𝑘}-action;Shaker, R. J., Jr.;Proc. Amer. Math. Soc.,1995

5. (𝑍₂)^{𝑘}-actions and characteristic numbers;Kosniowski, Czes;Indiana Univ. Math. J.,1979

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