The construction of Frobenius manifolds from KP tau-functions

J.W. van de Leur, Ruud Martini

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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 languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Publication statusPublished - 1998

Keywords

  • MSC-35Q53
  • MSC-22E65
  • MSC-22E67
  • EWI-3276
  • MSC-81R10
  • MSC-81T40
  • MSC-22E70

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