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arxiv: 0709.2919 · v2 · submitted 2007-09-18 · 🧮 math.GT

Hyperbolic geometry of multiply twisted knots

classification 🧮 math.GT
keywords linksgeometryhyperbolicinformationknotsamountaugmentationscertain
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We investigate the geometry of hyperbolic knots and links whose diagrams have a high amount of twisting of multiple strands. We find information on volume and certain isotopy classes of geodesics for the complements of these links, based only on a diagram. The results are obtained by finding geometric information on generalized augmentations of these links.

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