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- The 1,2-coloured HOMFLY-PT link homologyPublication . Mackaay, Marco; Stosic, Marko; Vaz, PedroIn this paper we define the 1,2-coloured HOMFLY-PT triply graded link homology and prove that it is a link invariant. We also conjecture on how to generalize our construction for arbitrary colours.
- sl(N)-link homology (N >= 4) using foams and the Kapustin-Li formulaPublication . Mackaay, Marco; Stosic, Marko; Vaz, PedroWe use foams to give a topological construction of a rational link homology categorifying the sl(N) link invariant, for N >= 4. To evaluate closed foams we use the Kapustin-Li formula adapted to foams by Khovanov and Rozansky [9]. We show that for any link our homology is isomorphic to the Khovanov-Rozansky [11] homology.