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Twisting quasi-alternating links
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