Toric mirror monodromies and Lagrangian spheres
Symplectic Geometry
2024-09-13 v1 Algebraic Geometry
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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Cite
@article{arxiv.2409.08261,
title = {Toric mirror monodromies and Lagrangian spheres},
author = {Vivek Shende},
journal= {arXiv preprint arXiv:2409.08261},
year = {2024}
}
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14 pages