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

DOI10.1155/S1073792802108129zbMath1024.32012arXivmath/0108148OpenAlexW2963400409MaRDI QIDQ4534508

Serguei Barannikov

Publication date: 7 August 2002

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108148

zbMATH Keywords

Lax operatorsemi-infinite variation of Hodge structuressemisimple Frobenius manifoldintegrable KdV type hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Period matrices, variation of Hodge structure; degenerations (32G20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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