Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers
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| Creator |
Goulden, I.P.
Guay-Paquet, M. Novak, J. |
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| Description |
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 certain generating series for the mixed double Hurwitz numbers solves the 2-Toda hierarchy of partial differential equations. We also prove that the mixed double Hurwitz numbers are piecewise polynomial, thereby generalizing a result of Goulden, Jackson and Vakil.
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| Date |
2019-02-15T18:58:52Z
2019-02-15T18:58:52Z 2016 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 05A05; 14H70 DOI:10.3842/SIGMA.2016.040 http://dspace.nbuv.gov.ua/handle/123456789/147740 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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