Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup of the genus mapping class group has a finite generating set whose size grows cubically with respect to . Our main tool is a new space called the handle graph on which acts cocompactly.
"Small generating sets for the Torelli group." Geom. Topol. 16 (1) 111 - 125, 2012. https://doi.org/10.2140/gt.2012.16.111