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math-ph2024
Bihamiltonian structure of the DR hierarchy in the semisimple case
Alexandr Buryak, Paolo Rossi
Of the two approaches to integrable systems associated to semisimple cohomological field theories (CohFTs), the one suggested by Dubrovin and Zhang and the more recent one using th…
math.AG2024
Quantum intersection numbers and the Gromov-Witten invariants of
Xavier Blot, Alexandr Buryak
The notion of a quantum tau-function for a natural quantization of the KdV hierarchy was introduced in a work of Dubrovin, Guéré, Rossi, and the second author. A certain natural ch…