Computations of HOMFLY homology
Keita Nakagane, Taketo Sano
TL;DR
This paper presents the complete computation of HOMFLY homology for all prime knots with up to 11 crossings, providing a comprehensive dataset for this knot invariant.
Contribution
It provides the first extensive direct computations of HOMFLY homology for a large class of prime knots up to 11 crossings.
Findings
HOMFLY homology computed for all prime knots with ≤11 crossings
Dataset available for further research in knot theory
Methodology for direct computation of HOMFLY homology
Abstract
Khovanov--Rozansky's HOMFLY homology is determined for all prime knots with up to 11 crossings by direct computations.
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.
Code & Models
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 · Algebraic structures and combinatorial models