Double cohomology of moment-angle complexes

Ivan Limonchenko,Taras Panov,Jongbaek Song,Donald Stanley

Advances in Mathematics（2023）

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摘要

We put a cochain complex structure CH⁎(ZK) on the cohomology of a moment-angle complex ZK and call the resulting cohomology the double cohomology, HH⁎(ZK). We give three equivalent definitions for the differential, and compute HH⁎(ZK) for a family of simplicial complexes containing clique complexes of chordal graphs.

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关键词

double cohomology,complexes,moment-angle

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