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arXiv · 1603.09267

Vertex operators and character varieties

Erik Carlsson·Fernando Rodriguez-Villegas
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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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Erik Carlsson, Fernando Rodriguez-Villegas. 2016-03-30. Vertex operators and character varieties. https://arxiv.org/abs/1603.09267

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