热带超曲面的拉格朗日子流形
Lagrangian submanifolds from tropical hypersurfaces
摘要:
证明了$\mathbb{R}^3$中的光滑热带超曲面可以提升为$(\mathbb{C}^*)^3$中的光滑嵌入拉格朗日子流形。这完成了“拉格朗日裤子”arXiv:1802.02993文章中宣布的结果的证明。证明的想法是使用拉格朗日裤子作为主要的构建块。
英文摘要:
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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