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Universal Algebras of Hurwitz Numbers

Geometric Topology 2009-11-24 v2 High Energy Physics - Theory Mathematical Physics Combinatorics math.MP

Abstract

Infinite-dimensional universal Cardy-Frobenius algebra is constructed, which unifies all particular algebras of closed and open Hurwitz numbers and is closely related to the algebra of differential operators, familiar from the theory of Generalized Kontsevich Model.

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Cite

@article{arxiv.0909.1164,
  title  = {Universal Algebras of Hurwitz Numbers},
  author = {A. Mironov and A. Morozov and S. Natanzon},
  journal= {arXiv preprint arXiv:0909.1164},
  year   = {2009}
}