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Title: Second extra differential on odd graph complexes (English)
Author: Živković, Marko
Language: English
Journal: Higher Structures
ISSN: 2209-0606
Volume: 6
Issue: 1
Year: 2022
Pages: 439-449
Summary lang: English
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Category: math
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Summary: A suitable extra differential on graph complexes can lead to a pairing of its cohomological classes. Many such extra differentials are known for various graph complexes, including Kontsevich’s graph complex GC$_n$ for odd $n$. In this paper we introduce another extra differential on the same graph complex, leading to another way of pairing of its cohomological classes. Two ways of pairing lead to even further understanding of graph cohomology through "waterfall mechanism". (English)
Keyword: Graph Complexes
Keyword: Extra Differentials on Graph Complexes
MSC: 16E45
MSC: 18G55
MSC: 53C15
MSC: 53D55
idZBL: Zbl 1494.05117
idMR: MR4456601
DOI: 10.21136/HS.2022.10
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Date available: 2026-03-13T10:02:47Z
Last updated: 2026-03-13
Stable URL: http://hdl.handle.net/10338.dmlcz/153454
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