Vertex operators and character varieties

Published 30 Mar 2016 in math.AG and math.RT | (1603.09267v1)

Abstract: We prove some combinatorial conjectures extending those proposed in [13, 14]. The proof uses a vertex operator due to Nekrasov, Okounkov, and the first author [4] to obtain a "gluing formula" for the relevant generating series, essentially reducing the computation to the case of complex projective space with three punctures.

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