论文标题
扩展镜对称的A模型含义
A-model Implications of Extended Mirror Symmetry
论文作者
论文摘要
量子产物的关联性确保了杜布罗温连接的平坦度，并且是霍奇（Hodge）三倍的霍奇（Hodge）理论镜对称性的基础。我们在与拉格朗日亚曼福尔德有关的共同体学上使用环和模块结构来定义混合霍奇结构的A模型变化的扩展，该变化与扩展镜像对称性的预测相匹配。我们的构造与所罗门·塔金斯基（Solomon-Tukachinsky）最近提出的与公理有关的公理接触。
Associativity of the quantum product ensures flatness of the Dubrovin connection and is the basis for Hodge-theoretic mirror symmetry of Calabi-Yau threefolds. We use ring and module structure on cohomology pertaining to a Lagrangian submanifold to define an extension of the A-model Variation of mixed Hodge structure that matches the predictions from extended mirror symmetry. Our construction makes contact with axioms for open Gromov-Witten theory recently proposed by Solomon-Tukachinsky.
