Computing the Teichmueller polynomial
Geometric Topology
2014-12-15 v1 Dynamical Systems
Abstract
The Teichmueller polynomial of a fibered 3-manifold plays a useful role in the construction of mapping class having small stretch factor. We provide an algorithm that computes this polynomial of the fibered face associated to a pseudo-Anosov mapping class of a disc homeomorphism. As a byproduct, our algorithm allows us to derive all the relevant informations on the topology of the different fibers that belong to the fibered face.
Keywords
Cite
@article{arxiv.1412.3983,
title = {Computing the Teichmueller polynomial},
author = {Erwan Lanneau and Ferrán Valdez},
journal= {arXiv preprint arXiv:1412.3983},
year = {2014}
}
Comments
31 pages, lot of figures