59 citations · 131 across the 13 of their papers we have counts for
13 papers
Cyclic sieving of noncrossing partitions for complex reflection groups
David Bessis, Victor Reiner
We prove an instance of the cyclic sieving phenomenon, occurring in the context of noncrossing parititions for well-generated complex reflection groups.
Garside categories, periodic loops and cyclic sets
David Bessis
Garside groupoids, as recently introduced by Krammer, generalise Garside groups. A weak Garside group is a group that is equivalent as a category to a Garside groupoid. We show tha…
Finite complex reflection arrangements are K(pi,1)
David Bessis
Let be a finite dimensional complex vector space and $W\subseteq \GL(V)$ be a finite complex reflection group. Let $V^{\reg}$ be the complement in of the reflecting hyperpl…
Topology of complex reflection arrangements
David Bessis
Let be a finite dimensional complex vector space and $W\subset \GL(V)$ be a finite complex reflection group. Let $V^{\reg}$ be the complement in of the reflecting hyperplan…
Non-crossing partitions of type (e,e,r)
David Bessis, Ruth Corran
We investigate a new lattice of generalised non-crossing partitions, constructed using the geometry of the complex reflection group . For the particular case (resp.…
A dual braid monoid for the free group
David Bessis
We construct a quasi-Garside monoid structure for the free group. This monoid should be thought of as a dual braid monoid for the free group, generalising the constructions by Birm…