The warping matrix of a knot diagram
Ayaka Shimizu
TL;DR
This paper introduces the warping matrix as a novel mathematical tool to describe oriented knots based on their warping degree, offering a new perspective in knot theory.
Contribution
The paper presents the warping matrix as a new method for representing oriented knots, expanding the analytical framework in knot theory.
Findings
Defines the warping matrix for oriented knots
Provides a new perspective on knot description
Potential applications in knot classification
Abstract
We introduce the warping matrix which is a new description of oriented knots from a viewpoint of warping degree.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Topological and Geometric Data Analysis