The construction of Frobenius manifolds from KP tau-functions

J.W. van de Leur; Ruud Martini

The construction of Frobenius manifolds from KP tau-functions

J.W. van de Leur, Ruud Martini

University of Twente

Research output: Book/Report › Report › Other research output

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 language	Undefined
Place of Publication	Enschede
Publisher	University of Twente
Publication status	Published - 1998

Keywords

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

Cite this

@book{abdd6f8f68044e7abd106dd3af8aacb5,

title = "The construction of Frobenius manifolds from KP tau-functions",

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.",

keywords = "MSC-35Q53, MSC-22E65, MSC-22E67, EWI-3276, MSC-81R10, MSC-81T40, MSC-22E70",

author = "\{van de Leur\}, J.W. and Ruud Martini",

note = "Imported from MEMORANDA",

year = "1998",

language = "Undefined",

publisher = "University of Twente",

address = "Netherlands",

}

TY - BOOK

T1 - The construction of Frobenius manifolds from KP tau-functions

AU - van de Leur, J.W.

AU - Martini, Ruud

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - MSC-35Q53

KW - MSC-22E65

KW - MSC-22E67

KW - EWI-3276

KW - MSC-81R10

KW - MSC-81T40

KW - MSC-22E70

M3 - Report

BT - The construction of Frobenius manifolds from KP tau-functions

PB - University of Twente

CY - Enschede

ER -