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# Link Homologies and the Refined Topological Vertex

@inproceedings{Gukov2007LinkHA, title={Link Homologies and the Refined Topological Vertex}, author={Sergei Gukov and Amer Iqbal and Can Kozçaz and Cumrun Vafa}, year={2007} }

- Published 2007
DOI:10.1007/s00220-010-1045-4

We establish a direct map between refined topological vertex and sl(N ) homological invariants of the of Hopf link, which include Khovanov-Rozansky homology as a special case. This relation provides an exact answer for homological invariants of the Hopf link, whose components are colored by arbitrary representations of sl(N ). At present, the mathematical formulation of such homological invariants is available only for the fundamental representation (the Khovanov-Rozansky theory) and the… CONTINUE READING