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.
Publié le : 2001-05-14
Classification:
Mapping tori of surface automorphisms,
pseud0-Anosov automorphisms,
mapping class group,
conjugacy problem,
57M27,
37E30
@article{1069855257,
author = {Brinkmann, Peter and Schleimer, Saul},
title = {Computing Triangulations of Mapping Tori of Surface Homeomorphisms},
journal = {Experiment. Math.},
volume = {10},
number = {3},
year = {2001},
pages = { 571-582},
language = {en},
url = {http://dml.mathdoc.fr/item/1069855257}
}
Brinkmann, Peter; Schleimer, Saul. Computing Triangulations of Mapping Tori of Surface Homeomorphisms. Experiment. Math., Tome 10 (2001) no. 3, pp. 571-582. http://gdmltest.u-ga.fr/item/1069855257/