Roots, symmetries and conjugacy of pseudo-Anosov mapping classes
Dynamical Systems
2007-10-11 v1 Geometric Topology
Abstract
An algorithm is proposed that solves two decision problems for pseudo-Anosov elements in the mapping class group of a surface with at least one marked fixed point. The first problem is the root problem: decide if the element is a power and in this case compute the roots. The second problem is the symmetry problem: decide if the element commutes with a finite order element and in this case compute this element. The structure theorem on which this algorithm is based provides also a new solution to the conjugacy problem.
Keywords
Cite
@article{arxiv.0710.2043,
title = {Roots, symmetries and conjugacy of pseudo-Anosov mapping classes},
author = {Jérôme Fehrenbach and Jérôme Los},
journal= {arXiv preprint arXiv:0710.2043},
year = {2007}
}