Authors: Limonchenko, Ivan 
Panov, Taras
Song, Jongbaek
Stanley, Donald
Affiliations: Mechanics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Double cohomology of moment-angle complexes
Journal: Advances in Mathematics
Volume: 432
First page: 109274
Issue Date: 2023
Rank: ~M21
ISSN: 0001-8708
DOI: 10.1016/j.aim.2023.109274
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.
Keywords: Bicomplex | Double cohomology | Moment-angle complex; Mathematics - Algebraic Topology; Mathematics - Algebraic Topology; Mathematics - Combinatorics; 13F55, 55N10, 55S20, 57S12
Publisher: Elsevier

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