The Construction of Frobenius Manifolds¶from KP tau-Functions

被引：0
|
作者：
J.W. van de Leur
R. Martini
机构：
[1] Faculty of Mathematical Sciences,
[2] University of Twente,undefined
[3] P.O. Box 217,undefined
[4] 7500 AE Enschede,undefined
[5] The Netherlands,undefined
来源：
Communications in Mathematical Physics | 1999年 / 205卷
关键词：
Differential Equation; Manifold; Partial Differential Equation; Representation Theory; Specific Subset;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：587 / 616
页数：29
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