Hyperbolic geometry of multiply twisted knots

Details Hyperbolic geometry of multiply twisted knots Hyperbolic geometry of multiply twisted knots

2007-09-18

arxiv.org/abs/0709.2919v2

Mathematics

Geometric Topology

16 pages, 6 figures. v2: Article has been split into two. New version contains only hyperbolic geometry results. Seifert fiber

Scientific paper

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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