vix.ing · top · new · best · stats · spec

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

2023/09/04 by Manturov, Vassily Olegovich
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2309.01735

Abstract

In \citeManturovNikonovMay2023,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.

Related