Garside groups and geometry

They support the claim that geometric group theory mixed with Hilbert geometry meet (and need) at least: differential geometry, convex affine geometry, real algebraic group

Examples of such actions in- clude the action by isometries on metrics other than the Teichm¨ uller and the Weil-Petersson (e.g. McMullen’s metric, the K¨ahler-Einstein metric,

Distorted elements in smooth mapping class groups In this section, we prove Theorem 1.1, which we restate now:..

Note that most of the following theory could be done in that context of pre-Garside groups (see Section 3.3); except that the notion of parabolic subgroup is no more as natural as

Sometimes called the greedy normal form—or Garside’s normal form, or Thurston’s normal form —it became a standard tool in the investigation of braids and Artin–Tits monoids

Next, we address the question of effectively recognizing Garside families and we describe and analyse algorithms doing it: in Section 2, we consider the case when the ambient

Finally, our groupoid presentations of ribbon groupoids of spherical type Artin-Tits groups provide Garside groupoids with braid-like defining relations.. These groupoids are

We turn now to intrinsic characterizations, that is, we do not start from a pre-existing category but consider instead an abstract family S equipped with a partial product