arXiv Analytics

Sign in

arXiv:math/0607544 [math.GT]AbstractReferencesReviewsResources

Some differentials on Khovanov-Rozansky homology

Jacob Rasmussen

Published 2006-07-21, updated 2006-08-15Version 2

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.

Comments: 55 pages, 18 figures. v2: Corrected gradings in the statement of proposition 7.6
Categories: math.GT, math.QA
Subjects: 57M27
Related articles: Most relevant | Search more
arXiv:1111.2240 [math.GT] (Published 2011-11-09)
A spectral sequence in odd Khovanov homology (Eine Spektralsequenz in ungerader Khovanov-Homologie)
arXiv:1904.09055 [math.GT] (Published 2019-04-19)
Khovanov-Rozansky homology for infinite multi-colored braids
arXiv:math/0512267 [math.GT] (Published 2005-12-13, updated 2007-07-03)
A relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion

Links

Toolbox