## Algebraic & Geometric Topology

### Equivariant complex bundles, fixed points and equivariant unitary bordism

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 18, Number 7 (2018), 4001-4035.

Dates
Revised: 8 April 2018
Accepted: 3 July 2018
First available in Project Euclid: 18 December 2018

https://projecteuclid.org/euclid.agt/1545102060

Digital Object Identifier
doi:10.2140/agt.2018.18.4001

Mathematical Reviews number (MathSciNet)
MR3892237

Zentralblatt MATH identifier
07006383

#### Citation

Ángel, Andrés; Gómez, José Manuel; Uribe, Bernardo. Equivariant complex bundles, fixed points and equivariant unitary bordism. Algebr. Geom. Topol. 18 (2018), no. 7, 4001--4035. doi:10.2140/agt.2018.18.4001. https://projecteuclid.org/euclid.agt/1545102060

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