Jacobi群轨道空间的对偶与WDVV方程的椭圆解
Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations
摘要：
从任何给定的弗罗贝纽斯流形，人们可以构造一个所谓的对偶结构，它虽然不满足弗罗贝纽斯流形的全部公理，但却具有它的许多基本特征，例如存在一个满足结合性WDVV方程的前势。雅可比群轨道空间自然带有Frobenius流形的结构，因此存在对偶预势。本文构造了这一对偶预势，并用Beilinson和Levin的椭圆多对数函数表示。
英文摘要：
From any given Frobenius manifold one may construct a so-called dual structure which, while not satisfying the full axioms of a Frobenius manifold, shares many of its essential features, such as the existence of a prepotential satisfying the WDVV equations of associativity. Jacobi group orbit spaces naturally carry the structures of a Frobenius manifold and hence there exists a dual prepotential. In this paper this dual prepotential is constructed and expressed in terms of the elliptic polylogarithm function of Beilinson and Levin.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
