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2007 $Z_2^k$–actions fixing $\mathbb{R}P^2{\cup}\mathbb{R}P^{\mathrm{even}}$
Rogério de Oliveira, Pedro Pergher, Adriana Ramos
Algebr. Geom. Topol. 7(1): 29-45 (2007). DOI: 10.2140/agt.2007.7.29

Abstract

This paper determines, up to equivariant cobordism, all manifolds with Z2k–action whose fixed point set is ℝ P2∪ℝ Pn, where n>2 is even.

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Rogério de Oliveira. Pedro Pergher. Adriana Ramos. "$Z_2^k$–actions fixing $\mathbb{R}P^2{\cup}\mathbb{R}P^{\mathrm{even}}$." Algebr. Geom. Topol. 7 (1) 29 - 45, 2007. https://doi.org/10.2140/agt.2007.7.29

Information

Received: 30 October 2006; Accepted: 12 December 2006; Published: 2007
First available in Project Euclid: 20 December 2017

MathSciNet: MR2289803
Digital Object Identifier: 10.2140/agt.2007.7.29

Subjects:
Primary: 57R85
Secondary: 57R75

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

Rights: Copyright © 2007 Mathematical Sciences Publishers

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