The zeroth line bundle cohomology on Calabi-Yau three-folds encodes information about the existence of flop transitions and the genus zero Gromov-Witten invariants. We illustrate this claim by studying several Picard number 2 Calabi-Yau three-folds realised as complete intersections in products of projective spaces. Many of these manifolds exhibit certain symmetries on the Picard lattice which preserve the zeroth cohomology.

中文翻译：

---

Calabi-Yau 三重上线丛上同调的触发器、Gromov-Witten 不变量和对称性

Calabi-Yau 三重上的第零线丛上同调编码了关于存在触发器转换和属零 Gromov-Witten 不变量的信息。我们通过研究几个 Picard 数 2 Calabi-Yau 三重来说明这一主张，这些三重实现为投影空间产品中的完全交集。这些流形中的许多在保持第零上同调的皮卡德晶格上表现出某些对称性。