N. Broaddus

activity

20042020

most citedIrreducible Sp-representations and subgroup distortion in the mapping class group

23 citations · 48 across the 8 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.GT2020★ 6 cited

The mapping class group of connect sums of $S^{2} \times S^{1}$

Tara Brendle, Nathan Broaddus, Andrew Putman

Let $M_{n}$ be the connect sum of $n$ copies of $S^{2} \times S^{1}$ . A classical theorem of Laudenbach says that the mapping class group $Mod (M_{n})$ is an extension of $\text{Out}…

math.GT2020

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…

The mapping class group of connect sums of S2×S1

The high-dimensional cohomology of the moduli space of curves with level structures II: punctures and boundary

The mapping class group of connect sums of $S^{2} \times S^{1}$