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arXiv · 1710.00879

Equivariant complex bundles, fixed points and equivariant unitary bordism

Andrés Angel·José Manuel Gómez·Bernardo Uribe
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Abstract

We study the fixed points of the universal G-equivariant n-dimensional complex vector bundle and obtain a decomposition formula in terms of twisted equivariant universal complex vector bundles of smaller dimension. 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.

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Andrés Angel, José Manuel Gómez, Bernardo Uribe. 2017-10-02. Equivariant complex bundles, fixed points and equivariant unitary bordism. https://doi.org/10.2140/agt.2018.18.4001

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