Frobenius manifolds from a geometrical and categorical viewpoint

该项目旨在提供以不同方式从代数曲线获得的Frobenius流形之间的连接。不同的建设，使用复杂的几何一方面和范畴理论的其他方面，分别提供了一个定量和定性的看法，对同一弗罗贝纽斯流形。这些不同的观点一起允许计算以前无法访问的物理量，并指向代数，复和微分几何之间的新关系。这些关系有望指导数学和物理边界上的新的基础研究。

This project aims to provide connections between Frobenius manifolds obtained from algebraic curves in diverse ways. The different constructions, using complex geometry on the one hand and category theory on the other, provide, respectively, a quantitative and qualitative view on the same Frobenius manifold. Together, these distinct points of view allow for the calculation of previously inaccessible physical quantities, and point to deep new relations between algebraic, complex and differential geometry. These relations are expected to guide new fundamental research on the border of mathematics and physics.