2-Representations and Equivariant 2D Topological Field Theories

TL;DR

This paper constructs a G-equivariant 2D topological field theory from Frobenius algebras with twisted group actions, extending the framework of topological quantum field theories.

Contribution

It provides an explicit construction method for G-equivariant topological field theories using Frobenius algebras with twisted group actions.

Findings

Explicit construction of G-equivariant TFTs from Frobenius algebras

Extension of Moore and Segal's ideas to twisted group actions

Framework applicable to arbitrary Frobenius algebras

Abstract

Following ideas of G. Moore and G. Segal, we explicitly construct a G-equivariant topological field theory from an arbitrary Frobenius algebra equipped with a twisted action of a finite group G.