Z2k–actions fixing RP²∪RPeven

de Oliveira, Rogério; Pergher, Pedro; Ramos, Adriana

doi:10.2140/agt.2007.7.29

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

$Z_2^k$–actions fixing $\mathbb{R}P^2{\cup}\mathbb{R}P^{\mathrm{even}}$

Rogério de Oliveira, Pedro L Q Pergher and Adriana Ramos

Algebraic & Geometric Topology 7 (2007) 29–45

DOI: 10.2140/agt.2007.7.29

Abstract

This paper determines, up to equivariant cobordism, all manifolds with $Z_{2}^{k}$ –action whose fixed point set is $ℝ P^{2} \cup ℝ P^{n}$ , where $n > 2$ is even.

Keywords

involution, group action, fixed data, property H, equivariant cobordism class, characteristic number, projective space bundle, Steenrod operation, Conner's formula, s–class

Mathematical Subject Classification 2000

Primary: 57R85

Secondary: 57R75

References

Publication

Received: 30 October 2006

Accepted: 12 December 2006

Published: 23 February 2007

Authors

Rogério de Oliveira
Departamento de Ciências Exatas Universidade Federal de Mato Grosso do Sul Caixa Postal 210 Três Lagoas, MS 79603-011 Brazil

Pedro L Q Pergher
Departamento de Matemática Universidade Federal de São Carlos Caixa Postal 676 São Carlos, SP 13565-905 Brazil

Adriana Ramos
Departamento de Matemática Universidade Federal de São Carlos Caixa Postal 676 São Carlos, SP 13565-905 Brazil

Volume 7, issue 1 (2007)