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Lagrangian submanifolds from tropical hypersurfaces

Published 4 Apr 2018 in math.SG and math.AG | (1804.01469v1)

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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