| 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 | Abstract: | 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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