Small generating sets for the Torelli group
نویسندگان
چکیده
منابع مشابه
Small generating sets for the Torelli group
Proving 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.
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2012
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2012.16.111