Special 2-cocycles and 3--3 Pachner move relations in Grassmann algebra

Abstract

Grassmann-algebraic relations, corresponding naturally to Pachner move 3--3 in four-dimensional topology, are presented. They involve 2-cocycles of two specific forms, and some more homological objects.

6 pages; v3: now the Appendix announces relations parameterized by elliptic functions

References in corpus (1)

• Pentagon Relations in Direct Sums and Grassmann Algebras

Cited by in corpus (4)

• Simplex and Polygon Equations
• Two-cocycles give a full nonlinear parameterization of the simplest 3--3 relation
• Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3
• Multiplicative expression for the coefficient in fermionic 3-3 relation