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math.AG2019★ 4 cited
Hirota Quadratic Equations for the Gromov--Witten Invariants of
Jipeng Cheng, Todor Milanov
Fano orbifold lines are classified by the Dynkin diagrams of type and . It is known that the corresponding total descendant potential is a tau-function of an appropriate…
math.AG2019
The extended D-Toda hierarchy
Jipeng Cheng, Todor Milanov
In a companion paper to this one, we proved that the Gromov--Witten theory of a Fano orbifold line of type is governed by a system of Hirota Bilinear Equations. The goal of thi…
math.AG2018
The 2-component BKP Grassmanian and simple singularities of type D
Jipeng Cheng, Todor Milanov
It was proved in 2010 that the principal Kac--Wakimoto hierarchy of type is a reduction of the 2-component BKP hierarchy. On the other hand, it is known that the total descenda…