Generating the Torelli group
type: Item
instance of: scholarly article
title: Generating the Torelli group
zbMATH Open document ID: 1273.57011
DOI: 10.4171/LEM/58-1-8
author: Dan Margalit
author: Allen Hatcher
published in: L'Enseignement Mathématique. 2e Série
publication date: 2013-07-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.0876
review text: Summary: We give a new proof of the theorem of Birman-Powell that the Torelli subgroup of the mapping classgroup of a closed orientable surface of genus at least 3 is generated by simple homeomorphisms known as bounding pair maps. The key ingredient is a proof that the subcomplex of the curve complex of the surface spanned by curves within a fixed homology class is connected.
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 20F65
zbMATH DE Number: 6187662
zbMATH Keywords: multicurves
zbMATH Keywords: complex of curves
zbMATH Keywords: surface
zbMATH Keywords: bounding pair maps
zbMATH Keywords: mapping class group
MaRDI profile type: Publication
arXiv ID: 1110.0876
description: scientific article; zbMATH DE number 6187662