On dilatation factors of braids on three strands
Geometric Topology
2013-07-29 v1 Dynamical Systems
Group Theory
Abstract
In this work we present a natural surjective map from rigid braids in B_3 (in Garside sense) to SL_2(N). This map provides an upper and a lower bound for the dilatation factor of a pseudo-Anosov 3-strand braid. These bounds only depend on the canonical length of the classical Garside structure of B_3.
Keywords
Cite
@article{arxiv.1307.6987,
title = {On dilatation factors of braids on three strands},
author = {Marta Aguilera},
journal= {arXiv preprint arXiv:1307.6987},
year = {2013}
}
Comments
13 pages, 5 figures