Geodesic
Equivariant complex bundles, fixed points and equivariant unitary bordism
Ángel, Andrés1 ; Gómez, José2 ; Uribe, Bernardo3
1 Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia, Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla, Colombia
2 Escuela de Matemáticas, Universidad Nacional de Colombia sede Medellín, Medellin, Colombia
3 Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla, Colombia
Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4001-4035

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.4001
Classification : 19L47, 19L50, 55N22, 57R77, 57R85
Keywords: equivariant $K$–theory, twisted $K$–theory, twisted equivariant $K$–theory, equivariant bordism

Ángel, Andrés 1 ; Gómez, José 2 ; Uribe, Bernardo 3

1 Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia, Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla, Colombia
2 Escuela de Matemáticas, Universidad Nacional de Colombia sede Medellín, Medellin, Colombia
3 Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla, Colombia 
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Ángel, Andrés; Gómez, José; Uribe, Bernardo. Equivariant complex bundles, fixed points and equivariant unitary bordism. Algebraic and Geometric Topology, Tome 18 (2018) no. 7, pp. 4001-4035. doi: 10.2140/agt.2018.18.4001

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