Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3031-3104 |
| Number of pages | 74 |
| Journal | Geometry and Topology |
| Volume | 19 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jan 6 2016 |
| Externally published | Yes |
ASJC Scopus subject areas
- Geometry and Topology