Small generating sets for the Torelli group

  title={Small generating sets for the Torelli group},
  author={Andrew Putman},
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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