Odd-gon relations and their cohomology

A cohomology theory for “odd polygon” relations—algebraic imitations of Pachner moves in dimensions 3, 5, …—is constructed. Manifold invariants based on polygon relations and nontrivial polygon cocycles are proposed. Example calculation results are presented.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2024-08-05
DOI
https://doi.org/10.1016/j.padiff.2024.100856
Citations
3
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
3.97
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article

Odd-gon relations and their cohomology

I. G. Korepanov
3 citations
Partial Differential Equations in Applied Mathematics
Advanced Combinatorial Mathematics
3.97
article

Odd-gon relations and their cohomology

I. G. Korepanov
article en
3 citations

Abstract

A cohomology theory for “odd polygon” relations—algebraic imitations of Pachner moves in dimensions 3, 5, …—is constructed. Manifold invariants based on polygon relations and nontrivial polygon cocycles are proposed. Example calculation results are presented.

Partial Differential Equations in Applied MathematicsVol. 11
Moscow Aviation Institute (RU)
Openalex Percentile: Top 9%
Advanced Combinatorial Mathematics
3.97
DOIOpen Access PDFOpenAlex
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Odd-gon relations and their cohomology — I. G. Korepanov · Partial Differential Equations in Applied Mathematics (2024) | TGRS Research Map | TGRS