## Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem. Geometry and Topology. Vol 6 (2002)

Citations: | 11 - 0 self |

### BibTeX

@MISC{Manning02algorithmicdetection,

author = {Jason Manning},

title = {Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem. Geometry and Topology. Vol 6},

year = {2002}

}

### OpenURL

### Abstract

We outline a rigorous algorithm, first suggested by Casson, for determining whether a closed orientable three-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 π1M.

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Citation Context ...ens space. Rubinstein and Rannard have claimed to be able to recognize small Seifert fibered spaces. Note that the homeomorphism problem for Haken 3-manifolds is decidable by work of Haken and Hemion =-=[28]-=-,[9]. The homeomorphism problem is also decidable for “rigid weakly geometric” 3-manifolds (including Haken manifolds and all manifolds satisfying the geometrization conjecture) by the work of Sela [2... |