Equivariant complex bundles, fixed points and equivariant unitary bordism
arXiv:1710.00879 · doi:10.2140/agt.2018.18.4001
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.
Corrected version. To appear in AG&T. 27 pages