A survey on mapping class group representations derived from skein theory

TL;DR

This paper surveys different methods of constructing finite-dimensional projective representations of mapping class groups using stated skein algebras, highlighting the connections between skein theory and group representations.

Contribution

It provides a comprehensive overview of the current state of research on mapping class group representations from skein theory, consolidating various approaches.

Findings

Multiple constructions of representations are summarized.

Connections between skein algebras and mapping class groups are elucidated.

The survey identifies open problems and future directions.

Abstract

We survey various constructions of finite dimensional projective representations of mapping class groups derived from stated skein algebras.