12 citations · 16 across the 5 of their papers we have counts for
7 papers
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…
Palindromic automorphisms of right-angled Artin groups
Neil J. Fullarton, Anne Thomas
We introduce the palindromic automorphism group and the palindromic Torelli group of a right-angled Artin group A_G. The palindromic automorphism group Pi A_G is related to the pri…
Infinite groups acting faithfully on the outer automorphism group of a right-angled Artin group
Corey Bregman, Neil J. Fullarton
We construct the first known examples of infinite subgroups of the outer automorphism group of Out(A_Gamma), for certain right-angled Artin groups A_Gamma. This is achieved by intr…
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…
On the number of outer automorphisms of the automorphism group of a right-angled Artin group
Neil J. Fullarton
We show that there is no uniform upper bound on |Out(Aut(A))| when A ranges over all right-angled Artin groups. This is in contrast with the cases where A is free or free abelian:…