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2001 Computing Triangulations of Mapping Tori of Surface Homeomorphisms
Peter Brinkmann, Saul Schleimer
Experiment. Math. 10(4): 571-582 (2001).


We present the mathematical background of a software package that computes triangulations of mapping tori of surface homeomorphisms, suitable for Jeff Weeks's program SnapPea. The package is an extension of the software described in Brinkmann [2000]. It consists of two programs. \jmt\ computes triangulations and prints them in a human-readable format. \jsnap\ converts this format into SnapPea's triangulation file format and may be of independent interest because it allows for quick and easy generation of input for SnapPea. As an application, we obtain a new solution to the restricted conjugacy problem in the mapping class group.


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Peter Brinkmann. Saul Schleimer. "Computing Triangulations of Mapping Tori of Surface Homeomorphisms." Experiment. Math. 10 (4) 571 - 582, 2001.


Published: 2001
First available in Project Euclid: 26 November 2003

zbMATH: 1004.57014
MathSciNet: MR1881758

Primary: 37E30 , 57M27

Keywords: conjugacy problem , mapping class group , Mapping tori of surface automorphisms , pseud0-Anosov automorphisms

Rights: Copyright © 2001 A K Peters, Ltd.


Vol.10 • No. 4 • 2001
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