New algebraic structures reveal heptagon relations in the context of simplicial 3-cocycles, suggesting insights into cohomological invariants.
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 third cohomology class on it).
No takes yet. Share an insight, caveat, or question.
I. G. Korepanov (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: