Communications in Analysis and Geometry

Volume 18 (2010)

Number 1

Hyperbolic geometry of multiply twisted knots

Pages: 101 – 120



Jessica S. Purcell (Department of Mathematics, Brigham Young University)


We investigate the geometry of hyperbolic knots and linkswhose diagrams have a high amount of twisting of multiplestrands. We find information on volume and certain isotopyclasses of geodesics for the complements of these links,based only on a diagram. The results are obtained byfinding geometric information on generalized augmentationsof these links.

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