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arXiv · 2205.14678

Equivariant cohomology of moment-angle complexes with respect to coordinate subtori

Taras Panov·Indira Zeinikesheva
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Abstract

We compute the equivariant cohomology $H^*_{T_I}(\mathcal Z_K)$ of moment-angle complexes $\mathcal Z_K$ with respect to the action of coordinate subtori $T_I \subset T^m$. We give a criterion for the equivariant formality of $\mathcal Z_K$ and obtain specifications for the cases of flag complexes and graphs.

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Taras Panov, Indira Zeinikesheva. 2022-05-29. Equivariant cohomology of moment-angle complexes with respect to coordinate subtori. https://doi.org/10.1134/s0081543822020079

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