Property P for Knots admitting Certain Gabai Disks

2003/05/29 by Oliver T. Dasbach, Tao Li, Dasbach, Oliver T. +1
Computer Science · Mathematics · #57M25 #57M27 #57M50 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Point processes and geometric inequalities #math.GT #msc:57M25 #msc:57M27 #msc:57M50

paper · pdf · doi:10.48550/arxiv.math/0305426

17 pages, 12 figures

arxiv created 2003/05/29 · openalex publication_date 2003/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Other applications are given.

Citations

• Dehn Surgery on Knots

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