Putman, Andrew2013-09-132013-09-132012Putman, Andrew. "Small generating sets for the Torelli group." <i>Geometry & Topology,</i> 16, (2012) Mathematical Sciences Publisher: 111-125. http://dx.doi.org/10.2140/gt.2012.16.111.https://hdl.handle.net/1911/71896Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup Ig of the genus g mapping class group has a finite generating set whose size grows cubically with respect to g. Our main tool is a new space called the handle graph on which Ig acts cocompactly.engThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Mathematical Sciences Publisher.Journal articleTorelli groupmapping class grouphttp://dx.doi.org/10.2140/gt.2012.16.111