A Remark on Deformations of Hurwitz Frobenius Manifolds

被引：0
|
作者：
Alexandr Buryak
Sergey Shadrin
机构：
[1] University of Amsterdam,Department of Mathematics
[2] Moscow State University,Department of Mathematics
[3] Institute of System Research,Department of Mathematics
来源：
Letters in Mathematical Physics | 2010年 / 93卷
关键词：
37K10 (53D45, 37K30); Frobenius manifold; Hurwitz space; Darboux–Egoroff equations; multi-KP hierarchy; deformations;
D O I：
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中图分类号：
学科分类号：
摘要：
In this note, we use the formalism of multi-KP hierarchies in order to give some general formulas for infinitesimal deformations of solutions of the Darboux–Egoroff system. As an application, we explain how Shramchenko’s deformations of Frobenius manifold structures on Hurwitz spaces fit into the general formalism of Givental–van de Leur twisted loop group action on the space of semi-simple Frobenius manifolds.
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页码：243 / 252
页数：9
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