Ideal Triangulations of Pseudo-Anosov Mapping Tori
Geometric Topology
2010-08-24 v2
Abstract
We show how to construct an ideal triangulation of a mapping torus of a pseudo-Anosov map punctured along the singular fibers. This gives rise to a new conjugacy invariant of mapping classes, and a new proof of a theorem of Farb-Leininger-Margalit. The approach in this paper is based on ideas of Hamenstadt.
Keywords
Cite
@article{arxiv.1008.1606,
title = {Ideal Triangulations of Pseudo-Anosov Mapping Tori},
author = {Ian Agol},
journal= {arXiv preprint arXiv:1008.1606},
year = {2010}
}
Comments
16 pages, 17 figures, submitted to the Jacofest proceedings, added citations and fixed some mistakes