Computing the Teichmueller polynomial

Erwan Lanneau; Ferrán Valdez

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arXiv · 1412.3983

Computing the Teichmueller polynomial

Erwan Lanneau·Ferrán Valdez

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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.

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Erwan Lanneau, Ferrán Valdez. 2014-12-12. Computing the Teichmueller polynomial. https://arxiv.org/abs/1412.3983

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