Odd-gon relations and their cohomology

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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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2022-07
1. Verfasser: Korepanov, Igor G
Format: Artikel
Sprache:eng
Schlagworte:
Homology
Mathematics - Combinatorics
Mathematics - Quantum Algebra
Polygons
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2205.00405