The construction of Frobenius manifolds from KP tau-functions

J.W. van de Leur, J.W. van de Leur, Ruud Martini

    Research output: Book/ReportReportProfessional

    Abstract

    Frobenius manifolds (solutions of WDVV equations) in canonical coordinates are determined by the system of Darboux-Egoroff equations. This system of partial differential equations appears as a specific subset of the n -component KP hierarchy. KP representation theory and the related Sato infinite Grassmannian are used to construct solutions of this Darboux-Egoroff system and the related Frobenius manifolds. Finally we show that for these solutions Dubrovin's isomonodromy tau-function can be expressed in the KP tau-function.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversiteit Twente
    Number of pages29
    Publication statusPublished - 1998

    Publication series

    NameMemorandum Faculteit TW
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1456

    Keywords

    • METIS-141309
    • IR-102320

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