Toric mirror monodromies and Lagrangian spheres

Vivek Shende
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Abstract

The central fiber of a Gross-Siebert type toric degeneration is known to satisfy homological mirror symmetry: its category of coherent sheaves is equivalent to the wrapped Fukaya category of a certain exact symplectic manifold. Here we show that, in the Calabi-Yau case, the images of line bundles are represented by Lagrangian spheres.
环镜单反和拉格朗日球
众所周知,格罗斯-西伯特型环变性的中心纤维满足同调镜像对称性:它的相干剪切范畴等价于某个精确交折射曼弗雷德的包裹 Fukaya 范畴。我们在此证明,在 Calabi-Yau 的情况下,线束的图像由拉格朗日球表示。
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