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math.AG2026
Cetraro lectures on integrable systems and moduli spaces of curves
Alexandr Buryak, Paolo Rossi
In these lecture notes we review some constructions and results on the relation between topology of the moduli space of stable curves and integrable systems of evolutionary PDEs.
math-ph2026
Quantum hierarchies of the ILW and BO equations and the DR cycles on the moduli spaces of curves
Alexandr Buryak, Abner Hernandez Rodriguez
In an earlier paper of P. Rossi and the first author, a construction of a wide class of quantum hierarchies was presented, with the input data given by an arbitrary cohomological f…