3 papers
math.GR2024
Salter's question on the image of the Burau representation of
Donsung Lee
In 1974, Birman posed the problem of identifying the conditions under which a matrix with Laurent polynomial entries lies in the image of the Burau representation. Building on this…
math.GT2024
On the Burau representation of modulo
Donsung Lee
We present an algorithm that, given a prime as input, determines whether or not the Burau representation of the 3-strand braid group modulo is faithful. We also prove that…
math.GR2024
Salter's question on the image of the Burau representation of
Donsung Lee
In 1974, Birman posed the question of under what conditions a matrix with Laurent polynomial entries is in the image of the Burau representation. In 1984, Squier observed that the…