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arXiv · 2409.08261

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.

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Vivek Shende. 2024-09-12. Toric mirror monodromies and Lagrangian spheres. https://arxiv.org/abs/2409.08261

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