526 citations · 1.1k across the 23 of their papers we have counts for
4 papers · 1 filter
Khovanov-Rozansky homology of two-bridge knots and links
Jacob Rasmussen
We compute the reduced version of Khovanov and Rozansky's sl(N) homology for two-bridge knots and links. The answer is expressed in terms of the HOMFLY polynomial and signature.
The Superpolynomial for Knot Homologies
Nathan M. Dunfield, Sergei Gukov, Jacob Rasmussen
We propose a framework for unifying the sl(N) Khovanov-Rozansky homology (for all N) with the knot Floer homology. We argue that this unification should be accomplished by a triply…
Knot polynomials and knot homologies
Jacob Rasmussen
This is an expository paper discussing some parallels between the Khovanov and knot Floer homologies. We describe the formal similarities between the theories and give some example…
Khovanov's invariant for closed surfaces
Jacob Rasmussen
We compute the Khovanov-Jacobsson number of an embedded torus in R^4. The answer is always 2, regardless of the embedding.