23 citations · 48 across the 8 of their papers we have counts for
4 papers · 1 filter
Homology of the curve complex and the Steinberg module of the mapping class group
Nathan Broaddus
By the work of Harer, the reduced homology of the complex of curves is a fundamental cohomological object associated to all torsion free finite index subgroups of the mapping class…
Calculating the image of the second Johnson-Morita representation
Joan S. Birman, Tara E. Brendle, Nathan Broaddus
Johnson has defined a surjective homomorphism from the Torelli subgroup of the mapping class group of the surface of genus with one boundary component to , the thir…
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…