Local moves on knots and products of knots
Louis H. Kauffman, Eiji Ogasa
TL;DR
This paper explores the relationships between local moves on 1-dimensional knots and their high-dimensional counterparts formed through knot products, revealing connections across different dimensions.
Contribution
It introduces new relations between local moves on low- and high-dimensional knots via product constructions, advancing understanding of knot transformations across dimensions.
Findings
Established links between local moves on 1D and high-dimensional knots
Demonstrated how knot products relate local moves across dimensions
Provided theoretical framework connecting low- and high-dimensional knot moves
Abstract
We show several relations between local moves on 1-dimensional knots and those on high dimensional knots related by products of knots.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Homotopy and Cohomology in Algebraic Topology