Small generating sets for the Torelli group

@inproceedings{Putman2014SmallGS,
  title={Small generating sets for the Torelli group},
  author={Andrew Putman},
  year={2014}
}
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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The structure of the Torelli group

D. Johnson
III. The abelianization of T , Topology 24 • 1985
View 4 Excerpts
Highly Influenced

On Siegel’s modular group

J. S. Birman
Math. Ann. 191 • 1971
View 3 Excerpts
Highly Influenced

Two theorems on the mapping class group of a surface

J. Powell
Proc. Amer. Math. Soc. 68 • 1978
View 3 Excerpts
Highly Influenced

A basis of Bachmuth type in the commutator subgroup of a free group

W. Tomaszewski
Canad. Math. Bull. 46 • 2003
View 1 Excerpt

Trees

J.-P. Serre
translated from the French original by John Stillwell, corrected 2nd printing of the 1980 English translation, Springer Monographs in Mathematics, Springer, Berlin • 2003

The Torelli groups for genus 2 and 3 surfaces

G. Mess
Topology 31 • 1992
View 1 Excerpt

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