2000/12/31 by Peter Brinkmann, Saul Schleimer · 1 citation
Mathematics · #math.GT #math.GR #msc:57M27 #msc:37E30
published as Experimental Mathematics 10:4, 2001, 571-581 · 19 pages, 7 figures Software available at http://www.math.uiuc.edu/~brinkman/
arxiv created 2001/03/19 · arxiv updated 2009/11/30
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. 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.