A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers
type: Item
instance of: scholarly article
title: A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers
zbMATH Open document ID: 0748.57004
DOI: 10.1016/0166-8641(92)90153-Q
author: Rolland Trapp
published in: Topology and its Applications
publication date: 1992-09-27T00:00:00Z
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 57R50
zbMATH DE Number: 60706
zbMATH Keywords: linear representation of the mapping class group of an orientable surface with one boundary component
zbMATH Keywords: crossed homomorphisms
zbMATH Keywords: nonvanishing vector fields
zbMATH Keywords: winding numbers
MaRDI profile type: Publication
cites work: Winding numbers on surfaces. I
cites work: Winding numbers on surfaces. II: Applications
cites work: Homeomorphisms of a Surface which Act Trivially on Homology
cites work: An abelian quotient of the mapping class group \(\mathfrak S\)
cites work: The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
cites work: Family of Jacobian manifolds and characteristic classes of surface bundles. II
cites work: Roots of the canonical bundle of the universal Teichmüller curve and certain subgroups of the mapping class group
cites work: Some Finite Quotients of the Mapping Class Group of a Surface
cites work: Matrix Representations of Artin Groups
cites work: A simple presentation for the mapping class group of an orientable surface
description: scientific article; zbMATH DE number 60706