105 citations · 705 across the 54 of their papers we have counts for
4 papers · 1 filter
Symplectic Heegaard splittings and linked abelian groups
Joan S. Birman, Dennis Johnson, Andrew Putman
Let be the gluing map of a Heegaard splitting of a 3-manifold . The goal of this paper is to determine the information about contained in the image of under the symp…
The Casson invariant and the word metric on the Torelli group
Nathan Broaddus, Benson Farb, Andrew Putman
We bound the value of the Casson invariant of any integral homology 3-sphere by a constant times the distance-squared to the identity, measured in any word metric on the Torell…
Irreducible Sp-representations and subgroup distortion in the mapping class group
Nathan Broaddus, Benson Farb, Andrew Putman
We prove that various subgroups of the mapping class group of a surface are at least exponentially distorted. Examples include the Torelli group (answering a question…
An infinite presentation of the Torelli group
Andrew Putman
In this paper, we construct an infinite presentation of the Torelli subgroup of the mapping class group of a surface whose generators consist of the set of all "separating twists",…