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Abstract: Quasi-alternating links are homologically thin for both Khovanov homology andknot Floer homology. We show that every quasi-alternating link gives rise to aninfinite family of quasi-alternating links obtained by replacing a crossingwith an alternating rational tangle. Consequently, we show that many pretzellinks are quasi-alternating, and we determine the thickness of Khovanovhomology for -most- pretzel links with arbitrarily many strands.



Author: Abhijit Champanerkar, Ilya Kofman

Source: https://arxiv.org/







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