The Dijkgraaf-Witten invariant is a partial case of the photography method

Abstract

In \cite{ManturovNikonovMay2023,ManturovWanMay2023} the author discovered a very general principle (called {\em the photography principle}) which allows one: a) To solve various equations (like pentagon equation) b) To construct invariants of manifolds. The advantage of that principle is that it deals with a very general notion of {\em data} and {\em data transmission} which may be of any kind. In the present paper, we show that the definition of the Dijkgraaf-Witten invariants of manifolds can be thought of as an evidence of the above principle.