Heptagon relations parameterized by simplicial 3-cocycles

2021/03/28 by I. G. Korepanov, Igor G. Korepanov, Korepanov, Igor G.
Mathematics · #15A24 (Primary) 81T45 (Secondary) #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.CO #math.GT #math.QA #msc:15A24 #msc:81T45

paper · pdf · doi:10.48550/arxiv.2103.15159

11 pages

arxiv created 2021/03/28 · openalex publication_date 2021/03/28 · arxiv updated 2021/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a family of heptagon relations -- algebraic imitations of five-dimensional Pachner move 3--4, parameterized by simplicial 3-cocycles.

Citations

• Bosonic pentachoron weights and multiplicative 2-cocycles

Related

• Heptagon relations from a simplicial 3-cocycle, and their cohomology
• Quadratic heptagon cohomology
• Special 2-cocycles and 3--3 Pachner move relations in Grassmann algebra
• Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
• Deformation of a 3 -> 3 Pachner move relation capturing exotic second homologies