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arXiv · 2107.05068

Homological Mirror Symmetry for local SYZ singularities

Mohammed Abouzaid·Zachary Sylvan
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Abstract

Gross and Siebert identified a class of singular Lagrangian torus fibrations which arise when smoothing toroidal degenerations, and which come in pairs that are related by mirror symmetry. We identify an immersed Lagrangian in each of these local models which supports a moduli space of objects that is isomorphic to the mirror space, and prove a homological mirror statement along the way.

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Mohammed Abouzaid, Zachary Sylvan. 2021-07-11. Homological Mirror Symmetry for local SYZ singularities. https://arxiv.org/abs/2107.05068

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