Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Goulden, I.P., Guay-Paquet, M., Novak, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147740
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers / I.P. Goulden, M. Guay-Paquet, J. Novak // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 22 назв. — англ.

This article introduces mixed double Hurwitz numbers, which interpolate combinatorially between the classical double Hurwitz numbers studied by Okounkov and the monotone double Hurwitz numbers introduced recently by Goulden, Guay-Paquet and Novak. Generalizing a result of Okounkov, we prove that a c...