The rational Khovanov homology of 3-strand 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.

33 pages; 14 figures

References in corpus (3)

• The Jones polynomial and graphs on surfaces
• The link concordance invariant from Lee homology
• The Khovanov homology of (p,-p,q) pretzel knots

Cited by in corpus (4)

• Rasmussen's spectral sequences and the sl(N)-concordance invariants
• Nimble evolution for pretzel Khovanov polynomials
• Stability and triviality of the transverse invariant from Khovanov homology
• The Khovanov homology of 3-strand pretzels, revisited