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Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type

Serguei Barannikov
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Abstract

We introduce integrable KdV type hierarchy associated naturally with arbitrary semi-simple Frobenius manifold. We present hierarchy in a Lax form and show that it admits bihamiltonian description.

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BibTeXRIS

Serguei Barannikov. 2001-08-21. Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type. https://doi.org/10.1155/s1073792802108129

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