A table of genus two handlebody-knots with seven crossings
Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini, Yi-Sheng Wang
TL;DR
This paper systematically enumerates all genus two handlebody-knots with seven crossings, extending existing knot tables and providing a comprehensive classification up to mirror images.
Contribution
It presents the first complete enumeration of genus two handlebody-knots with seven crossings, expanding the known catalog of such knots.
Findings
Complete list of genus two handlebody-knots with seven crossings
Extension of the Ishii-Kishimoto-Moriuchi-Suzuki table
Classification up to mirror image
Abstract
We enumerate all genus two handlebody-knots with seven crossings, up to mirror image, extending the Ishii-Kishimoto-Moriuchi-Suzuki table.
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 · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics