A 1-parameter approach to links in a solid torus

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概要

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• To an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way that links are isotopic if and only if their trace graphs can be related by moves of finitely many standard types. The key ingredient is a study of codimension 2 singularities of link diagrams. For closed braids with a fixed number of strands, trace graphs can be recognized up to equivalence excluding one type of moves in polynomial time with respect to the braid length.

著者

• Fiedler Thomas

  Laboratoire Emile Picard, Université Paul Sabatier

• Kurlin Vitaliy

  Department of Mathematical Sciences, Durham University

関連論文

• A 1-parameter approach to links in a solid torus
• A 1-parameter approach to links in a solid torus

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