Heptagon relation in a direct sum

Abstract

An ansatz is proposed for heptagon relation, that is, algebraic imitation of five-dimensional Pachner move 4--3. Our relation is realized in terms of matrices acting in a direct sum of one-dimensional linear spaces corresponding to 4-faces.

16 pages, 5 figures. v3: Section 5 significantly expanded and structured

References in corpus (5)

• Simplex and Polygon Equations
• Nonconstant hexagon relations and their cohomology
• Grassmannian-parameterized solutions to direct-sum polygon and simplex equations
• Hexagon cohomologies and polynomial TQFT actions
• Pentagon Relations in Direct Sums and Grassmann Algebras

Cited by in corpus (4)

• On the Structure of Set-Theoretic Polygon Equations
• Odd-gon relations and their cohomology
• Heptagon relations parameterized by simplicial 3-cocycles
• Quadratic heptagon cohomology