66 citations · 281 across the 25 of their papers we have counts for
15 papers · 1 filter
Hyperbolic structures for Artin-Tits groups of spherical type
Matthieu Calvez, Bert Wiest
The goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to elucidate some relatio…
Garside theory and subsurfaces: some examples in braid groups
Saul Schleimer, Bert Wiest
Garside-theoretical solutions to the conjugacy problem in braid groups depend on the determination of a characteristic subset of the conjugacy class of any given braid, e.g. the sl…
On the genericity of pseudo-Anosov braids II: conjugations to rigid braids
Sandrine Caruso, Bert Wiest
We prove that generic elements of braid groups are pseudo-Anosov, in the following sense: in the Cayley graph of the braid group with n 3 strands, with respect to Garside's g…
Upper bounds for the complexity of torus knot complements
Evgeny Fominykh, Bert Wiest
We establish upper bounds for the complexity of Seifert fibered manifolds with nonempty boundary. In particular, we obtain potentially sharp bounds on the complexity of torus knot…
Dynnikov coordinates on virtual braid groups
Valerij G. Bardakov, Andrei Vesnin, Bert Wiest
We define Dynnikov coordinates on virtual braid groups. We prove that they are faithful invariants of virtual 2-braids, and present evidence that they are also very powerful invari…
Reducible braids and Garside theory
Juan Gonzalez-Meneses, Bert Wiest
We show that reducible braids which are, in a Garside-theoretical sense, as simple as possible within their conjugacy class, are also as simple as possible in a geometric sense. Mo…