Dijkgraaf-Witten invariants of surfaces and projective representations of groups

TL;DR

This paper calculates Dijkgraaf-Witten invariants for surfaces using projective group representations and shows these invariants are positive integers for surfaces with positive genus.

Contribution

It provides a new method to compute Dijkgraaf-Witten invariants via projective representations and establishes their integrality for certain surfaces.

Findings

Dijkgraaf-Witten invariants expressed through projective representations

Invariants of positive genus surfaces are positive integers

New computational approach for surface invariants

Abstract

We compute the Dijkgraaf-Witten invariants of surfaces in terms of projective representations of groups. As an application we prove that the complex Dijkgraaf-Witten invariants of surfaces of positive genus are positive integers.