On the $RO(G)$-graded coefficients of dihedral equivariant cohomology

Igor Kriz; Yunze Lu

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arXiv · 2005.01225

On the $RO(G)$-graded coefficients of dihedral equivariant cohomology

Igor Kriz·Yunze Lu

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Abstract

We completely calculate the $RO(G)$-graded coefficients of ordinary equivariant cohomology where $G$ is the dihedral group of order $2p$ for a prime $p>2$ both with constant and Burnside ring coefficients. The authors first proved it for $p=3$ and then the second author generalized it to arbitrary $p$. These are the first such calculations for a non-abelian group.

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Igor Kriz, Yunze Lu. 2020-05-04. On the $RO(G)$-graded coefficients of dihedral equivariant cohomology. https://arxiv.org/abs/2005.01225

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