258 citations · 1.5k across the 56 of their papers we have counts for
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Local Moduli of Semisimple Frobenius Coalescent Structures
Giordano Cotti, Boris Dubrovin, Davide Guzzetti
We extend the analytic theory of Frobenius manifolds to semisimple points with coalescing eigenvalues of the operator of multiplication by the Euler vector field. We clarify which…
Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures
Boris Dubrovin, Si-Qi Liu, Youjin Zhang
Starting from a so-called flat exact semisimple bihamiltonian structures of hydrodynamic type, we arrive at a Frobenius manifold structure and a tau structure for the associated pr…
Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials
Boris Dubrovin, Ian A. B. Strachan, Youjin Zhang +1
For the root systems of type and , we generalize the result of \cite{DZ1998} by showing the existence of Frobenius manifold structures on the orbit spaces of the ex…
Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures
Boris Dubrovin, Si-Qi Liu, Youjin Zhang
The Drinfeld - Sokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete set of invariants of…
On the Reductions and Classical Solutions of the Schlesinger equations
B. Dubrovin, M. Mazzocco
The Schlesinger equations describe monodromy preserving deformations of order Fuchsian systems with poles. They can be considered as a family of commuting tim…
Extended affine Weyl groups and Frobenius manifolds -- II
Boris Dubrovin, Youjin Zhang, Dafeng Zuo
For the root system of type and , we generalize the result of \cite{DZ1998} by showing the existence of a Frobenius manifold structure on the orbit space of the extended…