Minimal bridge projections for 11-crossing prime knots

2012/08/21 by Chad Musick, Musick, Chad · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.1208.4233

86 pages, 1 figure, all 11-crossing prime knots are included

arxiv created 2012/09/16 · arxiv updated 2012/09/18

Abstract

We give the bridge indices for 11-crossing prime knots and give a minimal bridge projection for each of these knots. The results on the indices may be easily summarized: all of these knots that are not rational knots or Montesinos knots have bridge index three.

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