Cohomology of the tetrahedral complex and quasiinvariants of 2knots
Abstract
This paper explores a particular statistical model on 6valent graphs with special properties which turns out to be invariant with respect to certain Roseman moves if the graph is the singular point graph of a diagram of a 2knot. The approach uses the technic of the tetrahedral complex cohomology. We emphasize that this model considered on regular 3dlattices appears to be integrable. We also set out some ideas about the possible connection of this construction with the area of topological quantum field theories in dimension 4.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.03015
 Bibcode:
 2015arXiv151003015K
 Keywords:

 Mathematical Physics;
 Mathematics  Geometric Topology
 EPrint:
 24 pages