Experimental Mathematics

An implementation of the Bestvina-Handel algorithm for surface homeomorphisms

Peter Brinkmann

Abstract

Bestvina and Handel have introduced an effective algorithm that determines whether a given homeomorphism of an orientable, possibly punctured surface is pseudo-Anosov. We present a Java software package that realizes this algorithm for surfaces with one puncture. It allows the user to define homeomorphisms in terms of Dehn twists, and in the pseudo-Anosov case it generates images of train tracks in the sense of Bestvina-Handel.

Article information

Source
Experiment. Math., Volume 9, Issue 2 (2000), 235-240.

Dates
First available in Project Euclid: 22 February 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1045952347

Mathematical Reviews number (MathSciNet)
MR1780208

Zentralblatt MATH identifier
0982.57005

Subjects
Primary: 57M60: Group actions in low dimensions
Secondary: 37D20: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 37E30: Homeomorphisms and diffeomorphisms of planes and surfaces

Citation

Brinkmann, Peter. An implementation of the Bestvina-Handel algorithm for surface homeomorphisms. Experiment. Math. 9 (2000), no. 2, 235--240. https://projecteuclid.org/euclid.em/1045952347


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