On mapping class groups and their TQFT representations

TL;DR

This paper surveys the finite-dimensional representations of mapping class groups that emerge from topological quantum field theory, highlighting their mathematical structure and significance.

Contribution

It provides a comprehensive overview of the connections between mapping class groups and TQFT representations, emphasizing recent developments.

Findings

Identification of key properties of TQFT representations

Insights into the structure of mapping class groups

Discussion of implications for quantum topology

Abstract

The aim of this paper is to survey some aspects of mapping class groups with focus on their finite dimensional representations arising in topological quantum field theory.