
We argue that the Nekrasov's partition function with two equivariant parameters is reproduced by the method of topological vertex, if we introduce a refined version of the vertex. Our refined topological vertex is expressed in terms the specialization of the Macdonald functions which is related to the equivariant character of the Hilbert scheme of ℂ2. We provide diagrammatic rules for computing the partition function.
instanton counting, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, topological vertex, symmetric function, Yang-Mills and other gauge theories in quantum field theory
instanton counting, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, topological vertex, symmetric function, Yang-Mills and other gauge theories in quantum field theory
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