Ramifications of Hurwitz theory, KP integrability and quantum curves

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 examp...

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Veröffentlicht in:arXiv.org 2016-05
Hauptverfasser: Alexandrov, A, Lewanski, D, Shadrin, S
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description 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.
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subjects Mathematics - Algebraic Geometry
Mathematics - Combinatorics
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
title Ramifications of Hurwitz theory, KP integrability and quantum curves
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