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arXiv · 0709.2919

Hyperbolic geometry of multiply twisted knots

Jessica S. Purcell
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Abstract

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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Jessica S. Purcell. 2009-06-24. Hyperbolic geometry of multiply twisted knots. https://arxiv.org/abs/0709.2919

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