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arXiv · 1804.01469

Lagrangian submanifolds from tropical hypersurfaces

Diego Matessi
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Abstract

We prove that a smooth tropical hypersurface in $\mathbb{R}^3$ can be lifted to a smooth embedded Lagrangian submanifold in $(\mathbb{C}^*)^3$. This completes the proof of the result announced in the article "Lagrangian pairs pants" arXiv:1802.02993. The idea of the proof is to use Lagrangian pairs of pants as the main building blocks.

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Diego Matessi. 2018-04-04. Lagrangian submanifolds from tropical hypersurfaces. https://doi.org/10.1142/s0129167x21500464

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