Ideal Triangulations of Pseudo-Anosov Mapping Tori

Details Ideal Triangulations of Pseudo-Anosov Mapping Tori Ideal Triangulations of Pseudo-Anosov Mapping Tori

2010-08-09

arxiv.org/abs/1008.1606v2

Mathematics

Geometric Topology

16 pages, 17 figures, submitted to the Jacofest proceedings, added citations and fixed some mistakes

Scientific paper

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.

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