5 problems
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Quasitriviality conjecture for bihamiltonian deformations
A bihamiltonian structure of hydrodynamic type is given by a deformation of the form … have reducing transformations. This conjecture concerns the extension of quasitriviality from…
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Bihamiltonian coefficient-recursion conjecture for the local DR hierarchy
Consider the formal PDE referred to in the source as equation … mathcal{P}1^{[0]}neq0,qquad mathcal{P}2^{[0]}neqlambdamathcal{P}1^{[0]}quadtext{for every }lambdainmathbb{C}. … biha…
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Dubrovin--Liu--Yang--Zhang bihamiltonian conjecture for Hodge hierarchies
Let be the moduli space of stable curves, let be its Hodge bundle, and define … where…
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The polynomiality conjecture for topological deformations of generalized Frobenius manifolds
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…
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Reciprocal-transformation preservation of bihamiltonianity for dispersive deformations
Let a bihamiltonian evolutionary equation be an … -deformations is conjectured here.