Refined Hopf Link Revisited

Abstract

We establish a relation between the refined Hopf link invariant and the S-matrix of the refined Chern-Simons theory. We show that the refined open string partition function corresponding to the Hopf link, calculated using the refined topological vertex, when expressed in the basis of Macdonald polynomials gives the S-matrix of the refined Chern-Simons theory.

17 pages

References in corpus (2)

• The Refined Topological Vertex
• Vortex Counting and Lagrangian 3-manifolds

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