105 citations · 705 across the 54 of their papers we have counts for
Showing 2009 · math.GTShow all
3 papers · 2 filters
math.GT2009★ 4 cited
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…
math.GT2009★ 18 cited
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…
math.GT2009★ 17 cited
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…