English

Vertex operators and character varieties

Algebraic Geometry 2016-03-31 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1603.09267,
  title  = {Vertex operators and character varieties},
  author = {Erik Carlsson and Fernando Rodriguez-Villegas},
  journal= {arXiv preprint arXiv:1603.09267},
  year   = {2016}
}

Comments

no figures, 20 pages

R2 v1 2026-06-22T13:21:38.456Z