Polynomial modular Frobenius manifolds

PHYSICA D-NONLINEAR PHENOMENA

卷:241

Article

Morrison, Ewan K.¹  Strachan, Ian A. B.¹ 

[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Lanark, Scotland

关键词: Frobenius manifolds;    Modular functions;    Foldings;    Modular dynamical systems;   

DOI  :  10.1016/j.physd.2011.12.006

来源: Elsevier

【 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.

【 授权许可】

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