A class of Garside groupoid structures on the pure braid group

DOI10.1090/S0002-9947-08-04313-4zbMath1194.20040arXivmath/0509165MaRDI QIDQ3518192

Daan Krammer

Publication date: 7 August 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509165

zbMATH Keywords

pure braid groupspunctured diskGarside groupoidsball decompositionsTamari lattice ordering

Mathematics Subject Classification ID

Partial orders, general (06A06) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Ordered groups (group-theoretic aspects) (20F60) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items

Book review of: P. Dehornoy et al., Foundations of Garside theory, Decorated marked surfaces: spherical twists versus braid twists, On the rotation distance between binary trees, Labelled seeds and the mutation group, A geometric realization of silting theory for gentle algebras, Generalization of the Dehornoy-Lafont order complex to categories: application to exceptional braid groups, THE SUBWORD REVERSING METHOD, Cluster exchange groupoids and framed quadratic differentials, Algorithms for Garside calculus, Basic results on braid groups., Parabolic subgroups of Garside groups. II: Ribbons., Contractible stability spaces and faithful braid group actions, Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups, Efficient solutions to the braid isotopy problem., Helly meets Garside and Artin, Left-Garside categories, self-distributivity, and braids, Finite complex reflection arrangements are \(K(\pi,1)\)

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