Hirota equations for the extended bigraded Toda hierarchy and the total descendent potential of CP¹ orbifolds
Carlet, Guido · van de Leur, Johan
Original · EN
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 Cₖ,ₘ with a tau function of the bigraded Toda hierarchy.
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