Ramifications of Hurwitz theory, KP integrability and quantum curves
Mathematical Physics
2017-08-22 v3 High Energy Physics - Theory
Algebraic Geometry
Combinatorics
math.MP
Abstract
In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to discuss methods of derivation of quantum spectral curves from the point of view of KP integrability and derive new examples of quantum curves for the families of double Hurwitz numbers.
Keywords
Cite
@article{arxiv.1512.07026,
title = {Ramifications of Hurwitz theory, KP integrability and quantum curves},
author = {A. Alexandrov and D. Lewanski and S. Shadrin},
journal= {arXiv preprint arXiv:1512.07026},
year = {2017}
}
Comments
30 pages, references updated, minor corrections