The Refined Topological Vertex

@inproceedings{Iqbal2007TheRT,
  title={The Refined Topological Vertex},
  author={Amer Iqbal and Can Kozçaz and Cumrun Vafa},
  year={2007}
}
We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the self-dual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a two-parameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants. 

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