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Equivariant complex
bundles, fixed points and equivariant unitary bordism
Andrés Ángel, José Manuel Gómez and Bernardo Uribe |
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Algebraic & Geometric Topology 18 (2018) 4001–4035
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Abstract |
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We study the fixed points of the universal –equivariant complex vector bundle of rank 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
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Mathematical Subject Classification 2010
Primary: 19L47, 19L50, 55N22, 57R77, 57R85
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References |
Publication
Received: 15 November 2017
Revised: 8 April 2018
Accepted: 3 July 2018
Published: 11 December 2018
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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 |
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| https://sites.google.com/a/unal.edu.co/jmgomez0/ | |
| Bernardo Uribe | |
| Departamento de Matemáticas y
Estadística Universidad del Norte Barranquilla Colombia |
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| https://sites.google.com/site/bernardouribejongbloed/ | |
