%0 Journal Article
%T Two-color solutions of set-theoretic tetrahedron equation and their cohomologies
%A Nurlan M. Sadykov
%J Mathematics
%D 2015
%I arXiv
%X All solutions of the set-theoretic constant tetrahedron equation with two colors are found, and some of their properties are analyzed. The list includes 406 solutions - we call them R-operators, - most of which are degenerate (non-bijective). Then, we calculate the 3-cohomologies for our R-operators, and discuss the applicability of our results to 3-dimensional statistical physics.
%U http://arxiv.org/abs/1504.03314v1