6 problems

Let $M$ be the generalized Frobenius manifold with potential defining the extended Ablowitz–Ladik hierarchy. Let … be the solution to the loop equation of $M$, and suppose that…

Let $M$ be a semisimple generalized Frobenius manifold with non-flat unity, and consider the deformed bihamiltonian structure of its Legendre-extended Principal Hierarchy obtained…

A generalized Frobenius manifold is a manifold equipped with the generalized Frobenius structure whose Principal Hierarchy and topological deformation are defined by the loop equat…

Let a generalized Frobenius manifold be semisimple with non-flat unity, and consider the topological deformation of its Principal Hierarchy defined by the quasi-Miura transformatio…

Consider the Principal Hierarchy of a special two-dimensional generalized Frobenius manifold and its topological deformation obtained from the loop equation. The Ablowitz--Ladik hi…

Non-semisimple extension conjecture. The displayed relation holds for a generalized Frobenius manifold without the semisimplicity condition. The supplied excerpt gives no resolutio…