紧凸辛流形的 Hamiltonian Floer 同调
辛几何
2016-05-10 v3
摘要
我们为具有凸边界的强半正定紧辛流形构造了 Hamiltonian Floer 同调代数的绝对版本与相对版本，其中环结构由适当版本的裤对乘积给出。我们建立了这些 Floer 同调代数与相应的绝对及相对量子同调代数之间的绝对与相对 Piunikhin-Salamon-Schwarz 同构。由此，定义了紧支集 Hamiltonian 微分同胚群上谱不变量的绝对与相对类比。
引用
@article{arxiv.1302.1025,
title = {Hamiltonian Floer homology for compact convex symplectic manifolds},
author = {Sergei Lanzat},
journal= {arXiv preprint arXiv:1302.1025},
year = {2016}
}
备注
29 pages. The final version appeared in Beitr\"age zur Algebra und Geometrie / Contributions to Algebra and Geometry. Version 3 is the last arxiv version: various corrections and clarifications were made, references were added