On the four-term relation on Khovanov homology
Noboru Ito, Jun Yoshida
TL;DR
This paper proves a categorified version of Kontsevich's 4T relation, extending the understanding of Vassiliev derivatives within Khovanov homology.
Contribution
It introduces a categorified analogue of the 4T relation, advancing the theoretical framework of Khovanov homology and Vassiliev invariants.
Findings
Established a categorified 4T relation for Khovanov homology
Extended the algebraic structure of Vassiliev derivatives
Provided new insights into knot invariants and their relations
Abstract
The goal of this paper is to prove a categorified analogue of Kontsevich's relation on Vassiliev derivatives of Khovanov homology.
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 · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology