Integrable 3D Statistical Models on Six-Valent Graphs
Igor Germanovich Korepanov, Dmitry Valer'evich Talalaev, G. Sharygin · Proceedings of the Steklov Institute of Mathematics · 2018
The paper is devoted to the study of a special statistical model on graphs with vertices of degrees 6 and 1. We show that this model is invariant with respect to certain Roseman moves if one regards the graph as the singular point set of the diagram of a 2-knot. Our approach is based on the properties of the tetrahedron cohomology complex.