Garside groups and geometry: Some thoughts for Patrick Dehornoy

Cites Work

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Growth tight actions
Curve graphs and Garside groups
Multifraction reduction. I: The 3-Ore case and Artin-Tits groups of type FC.
The language of geodesics for Garside groups
Artin groups of finite type are biautomatic
A new approach to the word and conjugacy problems in the braid groups
Non-positively curved aspects of Artin groups of finite type
Geometry of the complex of curves. II: Hierarchical structure
Multifraction reduction. IV: Padding and Artin-Tits monoids of sufficiently large type
Artin groups of Euclidean type
Acylindrical hyperbolicity and Artin-Tits groups of spherical type
Multifraction reduction. III: The case of interval monoids
Asymptotic combinatorics of Artin-Tits monoids and of some other monoids
Geometry of the complex of curves. I: Hyperbolicity
Bounded cohomology of subgroups of mapping class groups
Bestvina's normal form complex and the homology of Garside groups.
On the genericity of pseudo-Anosov braids. II: Conjugations to rigid braids.
Geodesics in the mapping class group
Garside theory and subsurfaces: some examples in braid groups
Parabolic subgroups in FC-type Artin groups
On parabolic subgroups of Artin-Tits groups of spherical type
Foundations of Garside theory
Multifraction reduction. II: Conjectures for Artin-Tits groups
Hierarchically hyperbolic spaces. II: Combination theorems and the distance formula
Acylindrically hyperbolic groups
The dual braid monoid
Garside and Quadratic Normalisation: A Survey
The structure of Euclidean Artin groups
Non-crossing partition lattices in finite real reflection groups

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