Year: 2012
Type: article
Abstract: We give a new proof of the theorem of Birman–Powell that the Torelli subgroup of the mapping class group 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.
Source: L’Enseignement Mathématique
DOI: 10.4171/lem/58-1-8
Authors: Allen Hatcher, Dan Margalit
Institutions: Cornell University, Georgia Institute of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2963620658