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arXiv · 2112.07004

Double cohomology of moment-angle complexes

Ivan Limonchenko·Taras Panov·Jongbaek Song·Donald Stanley
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Abstract

We put a cochain complex structure ${CH}^*(\mathcal Z_K)$ on the cohomology of a moment-angle complex $\mathcal Z_K$ and call the resulting cohomology the double cohomology, ${HH}^*(\mathcal Z_K)$. We give three equivalent definitions for the differential, and compute ${HH}^*(\mathcal Z_K)$ for a family of simplicial complexes containing clique complexes of chordal graphs.

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Ivan Limonchenko, Taras Panov, Jongbaek Song, Donald Stanley. 2021-12-13. Double cohomology of moment-angle complexes. https://doi.org/10.1016/j.aim.2023.109274

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