Orderings of mapping class groups after Thurston

zbMath1023.57013arXivmath/9907104MaRDI QIDQ1347834

Bert Wiest, Hamish Short

Publication date: 4 November 2003

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907104

zbMATH Keywords

braid groupsordered groupsmapping class groups

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38) Ordered groups (group-theoretic aspects) (20F60)

Related Items (27)

Dehornoy’s ordering on the braid group and braid moves ⋮ On the dynamics of (left) orderable groups. ⋮ Partially ordered groups which act on oriented order trees. ⋮ Braid ordering and the geometry of closed braid ⋮ Linear \(L\)-algebras and prime factorization ⋮ The structure group of a generalized orthomodular lattice ⋮ Invariant ordering of groups and topology ⋮ Topological transitivity and wandering intervals for group actions on the line \(\mathbb R\) ⋮ One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups ⋮ \(C^1\) actions on the mapping class groups on the circle ⋮ Essential open book foliations and fractional Dehn twist coefficient ⋮ The \(L\)-algebra of Hurwitz primes ⋮ A remarkable family of left-ordered groups: central extensions of Hecke groups ⋮ Free group automorphisms, invariant orderings and topological applications ⋮ Orderable 3-manifold groups. ⋮ Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups ⋮ The rotation number integer quantization effect in braid groups ⋮ Laver's results and low-dimensional topology ⋮ Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation ⋮ Twist number of (closed) braids ⋮ On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation ⋮ Book Review: Braid groups (With the graphical assistance of Olivier Dodane); Ordering braids ⋮ Shrinking braids and left distributive monoid ⋮ On independence of some pseudocharacters on braid groups ⋮ Harmonic models and Bernoullicity ⋮ Bijective 1-cocycles, braces, and non-commutative prime factorization ⋮ New developments in the theory of Artin's braid groups

This page was built for publication: Orderings of mapping class groups after Thurston