Odd-gon relations and their cohomology
Quantum Algebra
2024-08-12 v2 Combinatorics
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.
Cite
@article{arxiv.2205.00405,
title = {Odd-gon relations and their cohomology},
author = {Igor G. Korepanov},
journal= {arXiv preprint arXiv:2205.00405},
year = {2024}
}
Comments
32 pages. v2: proof of Proposition 13 made more accurate; new calculation results added to Table 2. This article supersedes arXiv:2110.08780