Bredon cohomology of finite dimensional $C_p$-spaces

Samik Basu; Surojit Ghosh

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arXiv · 1911.08137

Bredon cohomology of finite dimensional $C_p$-spaces

Samik Basu·Surojit Ghosh

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Abstract

For finite dimensional free $C_p$-spaces, the calculation of the Bredon cohomology ring as an algebra over the cohomology of $S^0$ is used to prove the non-existence of certain $C_p$-maps. These are related to Borsuk-Ulam type theorems, and equivariant maps related to the topological Tverberg conjecture. For certain finite dimensional $C_p$-spaces which are formed out of representations, it is proved that the cohomology is a free module over the cohomology of a point. All the calculations are done for the cohomology with constant coefficients $\mathbb{Z}/p$.

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BibTeX RIS

Samik Basu, Surojit Ghosh. 2019-11-19. Bredon cohomology of finite dimensional $C_p$-spaces. https://arxiv.org/abs/1911.08137

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