5 papers
Proof of Shvartsman's conjecture on braid groups of projective complex reflection groups
Owen Garnier
The purpose of this note is to prove a conjecture of Shvartsman relating a complex projective reflection group with the quotient of a suitable complex braid group by its center. Sh…
Springer categories for regular centralizers in well-generated complex braid groups
Owen Garnier
In his proof of the K(pi,1) conjecture for complex reflection arrangements, Bessis defined Garside categories suitable for studying braid groups of centralizers of Springer regular…
Generalized J-groups, J-braid groups and Seifert link groups
Owen Garnier, Igor Haladjian
The family of J-groups was introduced by Achar and Aubert with the goal of providing Coxeter-like combinatorial tools for studying rank 2 complex reflection groups. However, J-grou…
Normalisers of parabolic subgroups of Artin--Tits groups and Tits cone intersections
Owen Garnier, Edmund Heng, Anthony Licata +1
Let be a Coxeter diagram and let . Motivated by 3-fold flops, Iyama and Wemyss study the hyperplane arrangement in the Tits cone intersection of , which is…
Conjugacy invariants and rigidity in Garside groups: a uniformity phenomenon
Matthieu Calvez, Owen Garnier, Juan González-Meneses +1
Consider an element~ of a Garside group which is rigid in the sense of Garside-theory. Let be the set of rigid conjugates of~ -- this is a well-known characteristic s…