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

preprint2002arXivOpen access

Abstract

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 π_1(M).

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