105 citations · 705 across the 54 of their papers we have counts for
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The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension
Thomas Church, Benson Farb, Andrew Putman
Let Mod_g be the mapping class group of a genus g >= 2 surface. The group Mod_g has virtual cohomological dimension 4g-5. In this note we use a theorem of Broaddus and the combinat…
Small generating sets for the Torelli group
Andrew Putman
Proving a conjecture of Dennis Johnson, we show that the Torelli subgroup of the mapping class group has a finite generating set whose size grows cubically with respect to the genu…
Abelian quotients of subgroups of the mapping class group and higher Prym representations
Andrew Putman, Ben Wieland
A well-known conjecture asserts that the mapping class group of a surface (possibly with punctures/boundary) does not virtually surject onto if the genus of the surface is lar…
A Birman exact sequence for Aut(F_n)
Matthew B. Day, Andrew Putman
The Birman exact sequence describes the effect on the mapping class group of a surface with boundary of gluing discs to the boundary components. We construct an analogous exact seq…