- Experiment. Math.
- Volume 9, Issue 2 (2000), 235-240.
An implementation of the Bestvina-Handel algorithm for surface homeomorphisms
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.
Experiment. Math., Volume 9, Issue 2 (2000), 235-240.
First available in Project Euclid: 22 February 2003
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
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