Twisting quasi-alternating links

Details Twisting quasi-alternating links Twisting quasi-alternating links

2007-12-16

arxiv.org/abs/0712.2590v3

Proc. Amer. Math. Soc. 137 (2009), 2451-2458.

Mathematics

Geometric Topology

Revised for publication in Proc. Amer. Math. Soc., 8 pages

Scientific paper

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.

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