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Toric mirror monodromies and Lagrangian spheres
Published 12 Sep 2024 in math.SG and math.AG | (2409.08261v1)
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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