363 citations · 1.3k across the 53 of their papers we have counts for
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Finite Group Reduction of the DR/DZ Hierarchies
Si-Qi Liu, Youjin Zhang, Tianwen Zhong
We show that the finite group reduction of the Dubrovin-Zhang/Double Ramification hierarchy associated with a semisimple CohFT preserves its bihamiltonian structure and its tau str…
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…
Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
Boris Dubrovin, Si-Qi Liu, Di Yang +1
For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of Hamiltonian partial differential equations. In the particular case of quantum cohomology t…
BCFG Drinfeld-Sokolov Hierarchies and FJRW-Theory
Si-Qi Liu, Yongbin Ruan, Youjin Zhang
According to the ADE Witten conjecture, which is proved by Fan, Jarvis and Ruan, the total descendant potential of the FJRW invariants of an ADE singularity is a tau function of th…
Frobenius Manifolds And Virasoro Constraints
Boris Dubrovin, Youjin Zhang
For an arbitrary Frobenius manifold a system of Virasoro constraints is constructed. In the semisimple case these constraints are proved to hold true in the genus one approximation…