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math-ph2018
On tau-functions for the KdV hierarchy
Boris Dubrovin, Di Yang, Don Zagier
For an arbitrary solution to the KdV hierarchy, the generating series of logarithmic derivatives of the tau-function of the solution can be expressed by the basic matrix resolvent…
math.AG2018
The Loop Equation for Special Cubic Hodge Integrals
Si-Qi Liu, Di Yang, Youjin Zhang +1
As the first step of proving the Hodge-FVH correspondence recently proposed in [19], we derive the Virasoro constraints and the Dubrovin--Zhang loop equation for special cubic Hodg…
math.AG2018
Gromov--Witten invariants of the Riemann sphere
Boris Dubrovin, Di Yang, Don Zagier
A conjectural formula for the -point generating function of Gromov--Witten invariants of the Riemann sphere for all genera and all degrees was proposed in \cite{DY2}. In this pa…