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Properties of Khovanov homology for positive braid knots

Marko Stosic
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Abstract

In this paper we solve one open problem from \cite{pat} and give some generalizations. Namely, we prove that the first homology group of positive braid knot is trivial. Also, we show that the same is true for the Khovanov-Rozansky homology \cite{kovroz} ($sl(n)$ link homology) for any positive integer $n$.

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Marko Stosic. 2005-11-21. Properties of Khovanov homology for positive braid knots. https://arxiv.org/abs/math/0511529

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