35 citations · 131 across the 16 of their papers we have counts for
17 papers
The kernel of the Birman-Craggs-Johnson homomorphism
Tara E. Brendle, Dan Margalit, Andrew Putman
For surfaces of genus with at most one boundary component, we give explicit generating sets for the kernel of the Birman-Craggs-Johnson homomorphism and the commutator s…
The mapping class group of connect sums of
Tara Brendle, Nathan Broaddus, Andrew Putman
Let be the connect sum of copies of . A classical theorem of Laudenbach says that the mapping class group is an extension of $\text{Out}…
The high-dimensional cohomology of the moduli space of curves with level structures II: punctures and boundary
Tara Brendle, Nathan Broaddus, Andrew Putman
We give two proofs that appropriately defined congruence subgroups of the mapping class group of a surface with punctures/boundary have enormous amounts of rational cohomology in t…
Normal subgroups of mapping class groups and the metaconjecture of Ivanov
Tara Brendle, Dan Margalit
We prove that if a normal subgroup of the extended mapping class group of a closed surface has an element of sufficiently small support then its automorphism group and abstract com…
The level four braid group
Tara E. Brendle, Dan Margalit
By evaluating the Burau representation at t=-1, we obtain a symplectic representation of the braid group. We define the congruence subgroups of the braid group to be the preimages…
Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t=-1
Tara Brendle, Dan Margalit, Andrew Putman
We prove that the hyperelliptic Torelli group is generated by Dehn twists about separating curves that are preserved by the hyperelliptic involution. This verifies a conjecture of…