Equivariant complex bundles, fixed points and equivariant unitary bordism
Algebraic Topology
2018-12-19 v2
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.
Cite
@article{arxiv.1710.00879,
title = {Equivariant complex bundles, fixed points and equivariant unitary bordism},
author = {Andrés Angel and José Manuel Gómez and Bernardo Uribe},
journal= {arXiv preprint arXiv:1710.00879},
year = {2018}
}
Comments
Corrected version. To appear in AG&T. 27 pages