Polynomial Modular Frobenius Manifolds

Details Polynomial Modular Frobenius Manifolds Polynomial Modular Frobenius Manifolds

2011-10-18

arxiv.org/abs/1110.4021v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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