English

Lagrangian submanifolds from tropical hypersurfaces

Symplectic Geometry 2023-02-13 v1 Algebraic Geometry

Abstract

We prove that a smooth tropical hypersurface in R3\mathbb{R}^3 can be lifted to a smooth embedded Lagrangian submanifold in (C)3(\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.

Keywords

Cite

@article{arxiv.1804.01469,
  title  = {Lagrangian submanifolds from tropical hypersurfaces},
  author = {Diego Matessi},
  journal= {arXiv preprint arXiv:1804.01469},
  year   = {2023}
}

Comments

59 pages, 14 Figures. This article completes the proof of the result announced in "Lagrangian pairs pants" arXiv:1802.02993

R2 v1 2026-06-23T01:13:53.047Z