Polynomial modular Frobenius manifolds

被引：5
|
作者：
Morrison, Ewan K. [1 ]
Strachan, Ian A. B. [1 ]
机构：
[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Lanark, Scotland
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2012年 / 241卷 / 23-24期
基金：
英国工程与自然科学研究理事会;
关键词：
Frobenius manifolds; Modular functions; Foldings; Modular dynamical systems; JACOBI GROUPS; ORBIT SPACE;
D O I：
10.1016/j.physd.2011.12.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The moduli space of Frobenius manifolds carries a natural involutive symmetry, and a distinguished class - so-called modular Frobenius manifolds - lie at the fixed points of this symmetry. In this paper a classification of semi-simple modular Frobenius manifolds which are polynomial in all but one of the variables is begun, and completed for three and four dimensional manifolds. The resulting examples may also be obtained from higher dimensional manifolds by a process of folding. The relationship of these results with orbifold quantum cohomology is also discussed. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2145 / 2155
页数：11
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