Geodesic
Computing the Teichmüller polynomial
Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3867-3910
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The Teichmüller polynomial of a fibered 3-manifold, introduced in [McM00], plays a useful role in the construction of mapping classes having a small stretch factor. We provide a general algorithm for computing the Teichmüller polynomial given a pseudo-Anosov mapping class obtained as a loop in a train track automaton. As a byproduct, our algorithm allows us to derive all the relevant information on the topology of various fibers that belong to a fibered face.
DOI : 10.4171/jems/756
Classification : 37-XX, 30-XX
Keywords: Teichmüller polynomial, pseudo-Anosov homeomorphism, Thurston norm 
@article{JEMS_2017_19_12_a9,
     author = {Erwan Lanneau and Ferr\'an Valdez},
     title = {Computing the {Teichm\"uller} polynomial},
     journal = {Journal of the European Mathematical Society},
     pages = {3867--3910},
     year = {2017},
     volume = {19},
     number = {12},
     doi = {10.4171/jems/756},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/756/}
}
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Erwan Lanneau; Ferrán Valdez. Computing the Teichmüller polynomial. Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3867-3910. doi: 10.4171/jems/756

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