The $C_2$-equivariant ordinary cohomology of $BT^2$

Steven R. Costenoble; Thomas Hudson

The $C_2$-equivariant ordinary cohomology of $BT^2$

Algebraic Topology 2024-11-12 v1

Authors: Steven R. Costenoble , Thomas Hudson

Abstract

We calculate the ordinary $C_2$ -cohomology of $BT^2$ with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of $BT^1$ and $BU(2)$ , calculated previously, both relationships being more complicated than in the nonequivariant case.

Keywords

equivariant cohomology Burnside ring BT^2 BU(2) C_2

Cite

@article{arxiv.2411.06470,
  title  = {The $C_2$-equivariant ordinary cohomology of $BT^2$},
  author = {Steven R. Costenoble and Thomas Hudson},
  journal= {arXiv preprint arXiv:2411.06470},
  year   = {2024}
}

Comments

45 pages

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