Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures
classification
🧮 math.DG
nlin.SI
keywords
structuresbihamiltonianhierarchyprincipalstructurearriveassociatedclassify
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Starting from a so-called flat exact semisimple bihamiltonian structures of hydrodynamic type, we arrive at a Frobenius manifold structure and a tau structure for the associated principal hierarchy. We then classify the deformations of the principal hierarchy which possess tau structures.
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