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arXiv · 2108.12763

Non-trivial extensions in equivariant cohomology with constant coefficients

Samik Basu·Surojit Ghosh
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Abstract

In this paper, we prove some computational results about equivariant cohomology over the cyclic group $C_{p^n}$ of prime power order. We show that there is an inductive formula when the dimension of the $C_p$-fixed points of the grading is large. Among other calculations, we also show the existence of non-trivial extensions when $n\geq 3$.

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Samik Basu, Surojit Ghosh. 2021-08-29. Non-trivial extensions in equivariant cohomology with constant coefficients. https://arxiv.org/abs/2108.12763

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