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arXiv · 1304.1632

Hirota equations for the extended bigraded Toda hierarchy and the total descendent potential of CP^1 orbifolds

Guido Carlet·Johan van de Leur
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Abstract

We prove that the Hirota quadratic equations of Milanov and Tseng define an integrable hierarchy which is equivalent to the extended bigraded Toda hierarchy. In particular this proves a conjecture of Milanov-Tseng that relates the total descendent potential of the orbifold $C_{k,m}$ with a tau function of the bigraded Toda hierarchy.

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Guido Carlet, Johan van de Leur. 2013-04-05. Hirota equations for the extended bigraded Toda hierarchy and the total descendent potential of CP^1 orbifolds. https://doi.org/10.1088/1751-8113/46/40/405205

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