Twisting quasi-alternating links
arXiv:0712.2590
Abstract
Quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology. We show that every quasi-alternating link gives rise to an infinite family of quasi-alternating links obtained by replacing a crossing with an alternating rational tangle. Consequently, we show that many pretzel links are quasi-alternating, and we determine the thickness of Khovanov homology for "most" pretzel links with arbitrarily many strands.
arXiv commentRevised for publication in Proc. Amer. Math. Soc., 8 pages
References in corpus (7)
- On the Khovanov and knot Floer homologies of quasi-alternating links
- A spanning tree model for the Heegaard Floer homology of a branched double-cover
- Alternating sum formulae for the determinant and other link invariants
- Minimal diagrams of classical and virtual links
- Heegaard Floer homologies of pretzel knots
- Khovanov homology and Rasmussen's s-invariants for pretzel knots
- Spanning trees and Khovanov homology