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Surgery descriptions and volumes of Berge knots II: Descriptions on the minimally twisted five chain link

2005/09/02 by Kenneth L. Baker, Baker, Kenneth L. · 1 citation
Mathematics · Medicine · #57M50 (Primary) 57M25 (Secondary) #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57M50

paper · pdf · doi:10.48550/arxiv.math/0509055

19 pages, 42 figures; Corrected to account for missing parameter in Berge knot types (III)-(VI)

openalex publication_date 2005/09/02 · arxiv created 2005/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Kirby Calculus, we explicitly pass from Berge's R-R descriptions of ten families of knots with lens space surgeries to surgery descriptions on the minimally twisted five chain link (MT5C). Since the MT5C admits a strong involution, we also give the corresponding tangle descriptions.

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