Small generating sets for the Torelli group

Details Small generating sets for the Torelli group Small generating sets for the Torelli group

2011-06-16

arxiv.org/abs/1106.3294v2

Mathematics

Geometric Topology

12 pages, 3 figures; serious revision; to appear in Geom. Topol

Scientific paper

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.

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