整体商轨道叠的 Hamilton Floer 理论
辛几何
2025-12-02 v2 动力系统
摘要
我们为一个整体商轨道叠构造了体变形的轨道叠 Hamilton Floer 理论，即一个光滑闭辛流形在有限群通过辛同胚忠实作用下的商。模空间定义了一个'有序标记 Flow 范畴'，我们通过导出轨道叠为其配备了一个相干表示。轨道叠 Floer 圆柱的全局图表由射影空间在给定有限群自由作用下的商上的全纯曲线模空间构建而成。
引用
@article{arxiv.2502.11290,
title = {Orbifold Hamiltonian Floer theory for global quotients},
author = {Cheuk Yu Mak and Sobhan Seyfaddini and Ivan Smith},
journal= {arXiv preprint arXiv:2502.11290},
year = {2025}
}
备注
80 pages. V2: The previous version, titled "Orbifold Floer theory for global quotients and Hamiltonian dynamics," has been split into two papers. This first part develops orbifold Hamiltonian Floer theory for global quotients, with major revisions correcting a serious error. The second part appears separately as "Orbifold Floer spectral invariants, symmetric product links and Weyl laws."