- journal article metadata
European Mathematical Society Publishing House
2017-11-23 23:40:01
Journal of the European Mathematical Society
J. Eur. Math. Soc.
JEMS
1435-9855
1435-9863
General
10.4171/JEMS
http://www.ems-ph.org/doi/10.4171/JEMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
19
2017
12
Computing the Teichmüller polynomial
Erwan
Lanneau
Université Grenoble Alpes, Grenoble, France
Ferrán
Valdez
UNAM, Morelia, Mexico
Teichmüller polynomial, pseudo-Anosov homeomorphism, Thurston norm
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.
Dynamical systems and ergodic theory
Functions of a complex variable
3867
3910
10.4171/JEMS/756
http://www.ems-ph.org/doi/10.4171/JEMS/756
11
20
2017