Abstract
We show that manifolds which parameterize values of first integrals of integrable finite-dimensional bihamiltonian systems carry a geometric structure which we call aKronecker web. We describe two opposite direction functors between Kronecker webs and integrable bihamiltonian structures: one is left inverse to the other. Conjecturally, these two functors are mutually inverse (for “small” open subsets of the manifolds in question).
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