2023/07/15 by I. G. Korepanov, Korepanov, Igor G.
Mathematics · #15A24 #57K16 #57Q99 #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic number #Artificial intelligence #Class (philosophy) #Cohomology #Combinatorics #Computer science #De Rham cohomology #Equivariant cohomology #FOS: Mathematics #Geometric and Algebraic Topology #Group cohomology #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Parameterized complexity #Pure mathematics #Quantum Algebra (math.QA) #Simplicial complex #Čech cohomology
paper · pdf · doi:10.48550/arxiv.2307.07774
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce new algebraic structures associated with heptagon relations -- higher analogue of the well-known pentagon. The main points we deal with are: (i) polygon relations as algebraic imitations of Pachner moves, on the example of heptagon, (ii) parameterization of heptagon relations by simplicial 3-cocycles, (iii) applications to invariants of pairs "piecewise linear 5-manifold, a 3rd cohomology class on it".