105 citations · 705 across the 54 of their papers we have counts for
5 papers · 1 filter
The Picard group of the moduli space of curves with level structures
Andrew Putman
For and large, we calculate the integral Picard groups of the moduli spaces of curves and principally polarized abelian varieties with level structures. In part…
Abelian covers of surfaces and the homology of the level L mapping class group
Andrew Putman
We calculate the first homology group of the mapping class group with coefficients in the first rational homology group of the universal abelian -cover of the surface. I…
The Johnson homomorphism and its kernel
Andrew Putman
We give a new proof of a celebrated theorem of Dennis Johnson that asserts that the kernel of the Johnson homomorphism on the Torelli subgroup of the mapping class group is generat…
Obtaining presentations from group actions without making choices
Andrew Putman
Consider a group acting nicely on a simply-connected simplicial complex . Numerous classical methods exist for using this group action to produce a presentation for . For…
On the self-intersections of curves deep in the lower central series of a surface group
Justin Malestein, Andrew Putman
We give various estimates of the minimal number of self-intersections of a nontrivial element of the kth term of the lower central series and derived series of the fundamental grou…