The Conner-Floyd bordism exact sequence -- a new perspective
type: Item
instance of: scholarly article
title: The Conner-Floyd bordism exact sequence -- a new perspective
zbMATH Open document ID: 1330.57048
author: A. S. Mishchenko
author: Q. Morales Meléndez
author: Michael C. Crabb
author: Th. Yu. Popelenskii
published in: Journal of Fixed Point Theory and Applications
publication date: 2015-09-25T00:00:00Z
review text: This paper gives an alternative description of the relative term in the Conner-Floyd bordism exact sequence. This relative term is defined as the sum of bordism groups of the classifying space of an extension by an orthogonal group of the Weyl group of \(O^{H}\) modules of subgroups of the group \(G\) which acts. The results apply to unoriented and unitary theories as well as to oriented and special unitary bordism, for which the authors introduce bordism groups with twisted coefficients.
Mathematics Subject Classification ID: 57R85
Mathematics Subject Classification ID: 55R35
Mathematics Subject Classification ID: 57R91
zbMATH DE Number: 6485528
zbMATH Keywords: Conner-Floyd exact sequence
zbMATH Keywords: classifying space
zbMATH Keywords: proper action of a countable discrete group
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
full work available at URL: s11784-015-0254-z
OpenAlex ID: W1802675454
cites work: The index of elliptic operators. III
cites work: Q3946815
cites work: Q5331105
cites work: Periodic maps which preserve a complex structure
cites work: Unoriented bordism for odd-order groups
cites work: A NOTE ON RO(G) GRADED G BORDISM THEORY
cites work: Equivariant Stable Homotopy and Framed Bordism
cites work: Lectures on groups of transformations. Notes by R. R. Simha and R. Sridharan
cites work: Introduction to Topological Manifolds
DOI: 10.1007/S11784-015-0254-Z
description: scientific article; zbMATH DE number 6485528