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arXiv · 2411.06470

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

Steven R. Costenoble·Thomas Hudson
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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.

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Steven R. Costenoble, Thomas Hudson. 2024-11-10. The $C_2$-equivariant ordinary cohomology of $BT^2$. https://arxiv.org/abs/2411.06470

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