Knot homology via derived categories of coherent sheaves IV, coloured   links
  We define a deformation of our earlier link homologies for fundamental representations of sl_m. The deformed homology of a link is isomorphic to the deformed homology of the disjoint union of its components. Moreover, there exists a spectral sequence starting with the old homology and converging to this deformed homology. 
Sabin Cautis and Joel Kamnitzer
math.AG math.QA