Katherine M. Goldman

collaborators

7 papers

math.OA2025

Strong solidity classification of Coxeter groups

MartÃn Blufstein, Katherine Goldman, Koichi Oyakawa

We prove the dichotomy that every Coxeter group either has a strongly solid group von Neumann algebra or contains the product of an infinite cyclic group and a free group of rank 2…

math.GR2025

A new class of affine $K (I ¨ , 1)$ arrangements

Katherine Goldman, Jingyin Huang

We show that a certain class of affine hyperplane arrangements are $K (I ¨ , 1)$ by endowing their Falk complexes with an injective metric. This gives new examples of infinite $K(Ï,1)…

math.CO2025

$7$ -located locally $5$ -large complexes are aspherical

Katherine Goldman, Piotr Przytycki

We prove that $7$ -located locally $5$ -large simplicial complexes are aspherical.

math.GR2025

The Deligne Complex for the $B_{3}$ Artin Group

Katherine Goldman, Amy Herron

We show that the piecewise Euclidean Moussong metric on the Deligne complex of the Artin group of type $B_{3}$ is $CAT (0)$ . We do this by establishing a criteria for a compl…

math.GR2024

2-dimensional Shephard groups

Katherine Goldman

The 2-dimensional Shephard groups are quotients of 2-dimensional Artin groups by powers of standard generators. We show that such a quotient is not $CAT (0)$ if the powers…

math.GR2024

CAT(0) and cubulated Shephard groups

Katherine Goldman

Shephard groups are common generalizations of Coxeter groups, Artin groups, and graph products of cyclic groups. Their definition is similar to that of a Coxeter group, but generat…