English

Properties of Khovanov homology for positive braid knots

Quantum Algebra 2007-05-23 v1

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)sl(n) link homology) for any positive integer nn.

Keywords

Cite

@article{arxiv.math/0511529,
  title  = {Properties of Khovanov homology for positive braid knots},
  author = {Marko Stosic},
  journal= {arXiv preprint arXiv:math/0511529},
  year   = {2007}
}

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12 pages