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CP^2的F_4(0) toric退化中的显式哈密顿分类

Explicit Hamiltonian Classification in the $F_4(0)$ Toric Degeneration of $CP^2$

Han Lou, Shuo Zhang

arXiv 2608.04535首次发表:更新:

AI 中文总结

本研究针对CP²的F₄(0) toric退化,在CP²(√2)的Oakley–Usher坐标下,给出其光滑化版本的正则拉格朗日环面纤维的哈密顿同痕类的显式坐标描述,明确了壁纤维与非壁纤维的哈密顿同痕性质。

AI 中文摘要

我们在CP^2(√2)的显式Oakley–Usher坐标下,给出了F_4(0) toric退化的光滑化版本\

英文摘要

We give an explicit coordinate description of the Hamiltonian isotopy classes of the regular Lagrangian torus fibers of the smoothing \(\widehat{F}_4(0)\) of the \(F_4(0)\) toric degeneration, expressed in the explicit Oakley--Usher coordinates on \(\CP^2(\sqrt2)\). For the wall fibers, they are not Hamiltonian isotopic to standard toric fibers, and no two distinct wall fibers are Hamiltonian isotopic. For the off-wall fibers, we find the standard toric fibers they are Hamiltonian isotopic to.

Comments19 pages, 4 figures, comments welcome!

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