The rational Khovanov homology of 3-strand pretzel links
Andrew Manion
TL;DR
This paper provides a comprehensive formula for the rational Khovanov homology of all 3-strand pretzel links, filling a gap in the understanding of these important knot examples.
Contribution
It introduces a general formula for the unreduced Khovanov homology of all 3-strand pretzel links over the rationals, extending previous partial results.
Findings
Derived a universal formula for all 3-strand pretzel links
Computed Khovanov homology over the rational numbers
Enhanced understanding of the structure of pretzel links
Abstract
The 3-strand pretzel knots and links are a well-studied source of examples in knot theory. However, while there have been computations of the Khovanov homology of some sub-families of 3-strand pretzel knots, no general formula has been given for all of them. We give a general formula for the unreduced Khovanov homology of all 3-strand pretzel links, over the rational numbers.
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.