Some differentials on Khovanov-Rozansky homology

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We study the relationship between the HOMFLY and sl(N) knot homologies introduced by Khovanov and Rozansky. For each N>0, we show there is a spectral sequence which starts at the HOMFLY homology and converges to the sl(N) homology. As an application, we determine the KR-homology of knots with 9 crossings or fewer.
55 pages, 18 figures. v2: Corrected gradings in the statement of proposition 7.6

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Geometric Topology, Quantum Algebra, 57M27

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http://salesiana.dossiersoluciones.com/handle/123456789/115075

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607544
 http://arxiv.org/abs/math/0607544

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arXiv