## Abstract

A class of solutions to the WDVV equations is provided by period matrices of hyper-elliptic Riemann surfaces, with or without punctures. The equations themselves reflect associativity of explicitly described multiplicative algebra of (possibly meromorphic) one-differentials, which holds at least in the hvperelliptic case. This construction is direct generalization of the old one, involving the ring of polynomials factorized over an ideal, and is inspired by the study of the Seiberg-Witten theory. It has potential to be further extended to reveal algebraic structures underlying the theory of quantum cohomologies and the prepotentials in string models with N = 2 supersymmetry.

Original language | English |
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Pages (from-to) | 773-787 |

Number of pages | 15 |

Journal | Modern Physics Letters A |

Volume | 12 |

Issue number | 11 |

DOIs | |

Publication status | Published - 10 Apr 1997 |

Externally published | Yes |