Volume 18, issue 7 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Equivariant complex bundles, fixed points and equivariant unitary bordism

Andrés Ángel, José Manuel Gómez and Bernardo Uribe

Algebraic & Geometric Topology 18 (2018) 4001–4035
Abstract

We study the fixed points of the universal G–equivariant complex vector bundle of rank n and obtain a decomposition formula in terms of twisted equivariant universal complex vector bundles of smaller rank. We use this decomposition to describe the fixed points of the complex equivariant K–theory spectrum and the equivariant unitary bordism groups for adjacent families of subgroups.

Keywords
equivariant $K$–theory, twisted $K$–theory, twisted equivariant $K$–theory, equivariant bordism
Mathematical Subject Classification 2010
Primary: 19L47, 19L50, 55N22, 57R77, 57R85
References
Publication
Received: 15 November 2017
Revised: 8 April 2018
Accepted: 3 July 2018
Published: 11 December 2018
Authors
Andrés Ángel
Departamento de Matemáticas
Universidad de los Andes
Bogotá
Colombia
Departamento de Matemáticas y Estadística
Universidad del Norte
Barranquilla
Colombia
José Manuel Gómez
Escuela de Matemáticas
Universidad Nacional de Colombia sede Medellín
Medellin
Colombia
https://sites.google.com/a/unal.edu.co/jmgomez0/
Bernardo Uribe
Departamento de Matemáticas y Estadística
Universidad del Norte
Barranquilla
Colombia
https://sites.google.com/site/bernardouribejongbloed/