2007/09/18 by Jessica S. Purcell, Purcell, Jessica S.
Mathematics · #57M25 #57M50 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT #msc:57M25 #msc:57M50
paper · pdf · doi:10.48550/arxiv.0709.2919
16 pages, 6 figures. v2: Article has been split into two. New version contains only hyperbolic geometry results. Seifert fibered and toroidal results are now in the paper entitled "On multiply twisted knots and links which are Seifert fibered or toroidal", arXiv:0906.4575. Results similar to v1, but paper has been rewritten, with new title.
openalex publication_date 2007/09/18 · arxiv created 2009/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.