Uniqueness of bridge surfaces for 2-bridge knots

2006/09/20 by Martin Scharlemann, Scharlemann, Martin, Maggy Tomova +1 · 1 citation
Mathematics · #57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.math/0609567

12 pages, 4 figures

arxiv created 2006/09/20 · arxiv updated 2009/12/01

Abstract

Any 2-bridge knot in the 3-sphere has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.

Cited by

• Rigidity of highly twisted plat diagrams

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