Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem

Details Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem

2001-02-19

arxiv.org/abs/math/0102154v2

Geom. Topol. 6(2002) 1-26

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper1.abs.html

Scientific paper

We outline a rigorous algorithm, first suggested by Casson, for determining
whether a closed orientable 3-manifold M is hyperbolic, and to compute the
hyperbolic structure, if one exists. The algorithm requires that a procedure
has been given to solve the word problem in \pi_1(M).

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