Ascending number of knots and links
Makoto Ozawa
TL;DR
This paper introduces a new numerical invariant for knots and links derived from descending diagrams, positioned between the unknotting number and bridge number, offering a novel way to analyze knot complexity.
Contribution
The paper presents a new invariant based on descending diagrams, filling a gap between existing measures like unknotting and bridge numbers.
Findings
The invariant provides a new perspective on knot complexity.
It is computationally feasible from descending diagrams.
The invariant bridges the gap between unknotting and bridge numbers.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Homotopy and Cohomology in Algebraic Topology