On dilatation factors of braids on three strands

DOI10.1142/S0218216515500194zbMath1339.20032arXiv1307.6987MaRDI QIDQ5255357

Marta Aguilera

Publication date: 15 June 2015

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6987

zbMATH Keywords

braid groupstrain tracksNielsen-Thurston classificationGarside normal formspseudo-Anosov braidsdilatation factors

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

• Reducible braids and Garside theory.
• Train tracks and automorphisms of free groups
• On the divisibility of knot groups
• Train-tracks for surface homeomorphisms
• Conjugacy in Garside groups. III: Periodic braids.
• Conjugacy in Garside groups. I: Cyclings, powers and rigidity.
• On the algebraical braid group
• Topological Optimization of Rod-Stirring Devices
• FAST ALGORITHMIC NIELSEN–THURSTON CLASSIFICATION OF FOUR-STRAND BRAIDS
• On the geometry and dynamics of diffeomorphisms of surfaces
• ALGORITHMS FOR POSITIVE BRAIDS
• The forcing partial order on the three times punctured disk
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• BRAIDS AND THE NIELSEN-THURSTON CLASSIFICATION
• Braid Groups
• THE BRAID GROUP AND OTHER GROUPS

This page was built for publication: On dilatation factors of braids on three strands