Small generating sets for the Torelli group
Geometric Topology
2014-11-11 v2 Group Theory
Abstract
Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup of the mapping class group has a finite generating set whose size grows cubically with respect to the genus of the surface. Our main tool is a new space called the handle graph on which the Torelli group acts cocompactly.
Cite
@article{arxiv.1106.3294,
title = {Small generating sets for the Torelli group},
author = {Andrew Putman},
journal= {arXiv preprint arXiv:1106.3294},
year = {2014}
}
Comments
12 pages, 3 figures; serious revision; to appear in Geom. Topol