Introduction to quantum representations of mapping class groups
type: Item
instance of: scholarly article
title: Introduction to quantum representations of mapping class groups
zbMATH Open document ID: 1479.57038
DOI: 10.4171/IRMA/33-1/7
author: Julien Marché
publication date: 2021-12-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1812.03888
review text: Summary: We provide an (almost) self-contained construction of the Witten-Reshetikhin-Turaev representations of the mapping class group. We describe its properties including its Hermitian structure, irreducibility and integrality (at prime level). The construction in these notes relies only on skein theory (Kauffman Bracket) and does not use surgery techniques. We hope that they will be accessible to non-specialists. For the entire collection see [Zbl 1466.57001].
Mathematics Subject Classification ID: 57K20
Mathematics Subject Classification ID: 57-02
zbMATH DE Number: 7438861
zbMATH Keywords: Witten-Reshetikhin-Turaev representation
zbMATH Keywords: mapping class group
zbMATH Keywords: Hermitian structure
zbMATH Keywords: irreducibility
zbMATH Keywords: skein theory
MaRDI profile type: Publication
arXiv ID: 1812.03888
OpenAlex ID: W2905259114
description: scientific article