Properties of Khovanov homology for positive braid knots

Details Properties of Khovanov homology for positive braid knots Properties of Khovanov homology for positive braid knots

2005-11-21

arxiv.org/abs/math/0511529v1

Mathematics

Quantum Algebra

12 pages

Scientific paper

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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