The Khovanov homology of 3-strand pretzels, revisited

Abstract

We compute the reduced Khovanov homology of 3-stranded pretzel links. The coefficients are the integers with the "even" sign assignment. In particular, we show that the only homologically thin, non-quasi-alternating 3-stranded pretzels are P(-p,p,r) with p an odd integer and r greater than or equal to p (these were shown to be homologically thin by Starkston and Qazaqzeh).

24 pages; 12 figures; added citation

References in corpus (1)

• The rational Khovanov homology of 3-strand pretzel links

Cited by in corpus (2)

• Knot Floer homology of some even 3-stranded pretzel knots
• A family of concordance homomorphisms from Khovanov homology