Ascending number of knots and links

2007/05/23 by Makoto Ozawa, Ozawa, Makoto · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57Q35

paper · pdf · doi:10.48550/arxiv.0705.3337

11 pages, 30 figures

arxiv created 2007/05/23 · arxiv updated 2009/12/01

Abstract

We introduce a new numerical invariant of knots and links from the descending diagrams. It is considered to live between the unknotting number and the bridge number.

Cited by

• Integer inequalities between knot invariants, skein tree depth and delta-crossing numbers

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