TL;DR
This paper reveals a connection between the refined Hopf link invariant and the S-matrix of refined Chern-Simons theory, using refined topological vertex and Macdonald polynomials, advancing understanding in quantum topology.
Contribution
It establishes a direct relation between the refined Hopf link invariant and the S-matrix of refined Chern-Simons theory through refined topological vertex calculations.
Findings
Refined open string partition function equals the S-matrix in Macdonald polynomial basis.
Shows the refined Hopf link invariant can be expressed via the S-matrix of refined Chern-Simons theory.
Connects topological string theory with quantum group invariants.
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.
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