12 citations · 16 across the 5 of their papers we have counts for
4 papers · 1 filter
Observed periodicity related to the four-strand Burau representation
Neil J. Fullarton, Richard Shadrach
A long-standing open problem is to determine for which values of n the Burau representation Psi_n of the braid group B_n is faithful. Following work of Moody, Long-Paton, and Bigel…
Hyperelliptic graphs and the period mapping on outer space
Corey Bregman, Neil J. Fullarton
The period mapping assigns to each rank n, marked metric graph Gamma a positive definite quadratic form on H_1(Gamma). This defines maps Phi* and Phi on Culler--Vogtmann's outer sp…
The high-dimensional cohomology of the moduli space of curves with level structures
Neil Fullarton, Andrew Putman
We prove that the moduli space of curves with level structures has an enormous amount of rational cohomology in its cohomological dimension. As an application, we prove that the co…
A generating set for the palindromic Torelli group
Neil J. Fullarton
A palindrome in a free group F_n is a word on some fixed free basis of F_n that reads the same backwards as forwards. The palindromic automorphism group ΠA_n of the free group F_n…