Estimating the Kirby--Thompson Invariants of Surface-Links in the Yoshikawa Table
Minami Taniguchi
TL;DR
This paper develops methods to estimate the Kirby--Thompson invariants of surface-links listed in the Yoshikawa table by analyzing their tri-plane diagrams, providing new bounds for these topological invariants.
Contribution
It introduces a technique to derive upper bounds for L- and L*-invariants of surface-links using their tri-plane diagrams, advancing the understanding of their topological properties.
Findings
Upper bounds for L- and L*-invariants of several surface-links
Application of tri-plane diagrams to invariant estimation
Enhanced understanding of surface-link invariants
Abstract
In [Z23], minimal tri-plane diagrams of surface-links listed in the Yoshikawa table are computed using ch-diagrams. In this paper, we obtain upper bounds for the L- and L*-invariants of several surface-links in the Yoshikawa table by using their tri-plane diagrams.
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 · Geometric Analysis and Curvature Flows · Advanced Operator Algebra Research