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arXiv · 2106.05705

Tropical Lagrangian multi-sections and toric vector bundles

Yat-Hin Suen
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Abstract

We introduce the notion of tropical Lagrangian multi-sections over a fan and study its relation with toric vector bundles. We also introduce a "SYZ-type" construction for toric vector bundles which gives a reinterpretation of Kaneyama's linear algebra data. In dimension 2, such "mirror-symmetric" approach provides us a pure combinatorial condition for checking which rank 2 tropical Lagrangian multi-section arises from toric vector bundles.

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Yat-Hin Suen. 2021-06-10. Tropical Lagrangian multi-sections and toric vector bundles. https://doi.org/10.2140/pjm.2023.325.299

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