Twisting quasi-alternating links

Abhijit Champanerkar, Ilya Kofman
2009 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-09-09876-1 fatcat:hmfxz4t5gfdzxm5drxyent4qre