On central extensions of mapping class groups
type: Item
instance of: scholarly article
title: On central extensions of mapping class groups
zbMATH Open document ID: 0823.57010
DOI: 10.1007/BF01444490
author: Gregor Masbaum
author: J. D. Roberts
published in: Mathematische Annalen
publication date: 1995-10-30T00:00:00Z
full work available at URL: https://eudml.org/doc/165326
review text: We describe central extensions of mapping class groups generated by the natural geometric actions of the handlebody subgroups on skein modules. The actions also give rise to nice presentations of the extended groups. We identify the cohomology classes of the extensions and briefly explain their relationship with topological quantum field theory.
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 57R50
Mathematics Subject Classification ID: 30F99
zbMATH DE Number: 769472
zbMATH Keywords: mapping class groups
zbMATH Keywords: actions of the handlebody subgroups on skein modules
zbMATH Keywords: cohomology classes of the extensions
zbMATH Keywords: topological quantum field theory
MaRDI profile type: Publication
cites work: The logarithm of the Dedekind \(\eta\)-function
cites work: Topological quantum field theories
cites work: On framings of 3-manifolds
cites work: Euler and Maslov cocycles
cites work: Three-manifold invariants derived from the Kauffman bracket
cites work: Topological quantum field theories derived from the Kauffman bracket
cites work: RACKS AND LINKS IN CODIMENSION TWO
cites work: Computer calculation of Witten's 3-manifold invariant
cites work: The second homology group of the mapping class group of an orientable surface
cites work: A presentation for the mapping class group of a closed orientable surface
cites work: State models and the Jones polynomial
cites work: Dedekind sums, \(\mu\)-invariants and the signature cocycle
cites work: Topological invariants for 3-manifolds using representations of mapping class groups. I
cites work: Three-manifolds and the Temperley-Lieb algebra
cites work: Calculations with the Temperley-Lieb algebra
cites work: Skeins and handlebodies
cites work: Q3203720
cites work: A Simple Proof of the Fundamental Theorem of Kirby Calculus on Links
cites work: Q4307571
cites work: Q4027102
cites work: Invariants of 3-manifolds via link polynomials and quantum groups
cites work: Skeins and mapping class groups
cites work: On Homeomorphisms of a 3-Dimensional Handlebody
cites work: QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS
cites work: A simple presentation for the mapping class group of an orientable surface
cites work: Braids and invariants of 3-manifolds
cites work: Quantum field theory and the Jones polynomial
description: scientific article; zbMATH DE number 769472