四维流形上的周期哈密顿流
dg-ga
2008-02-03 v3 微分几何
摘要
我们在哈密顿 S^1 空间同构的意义下对紧致四维辛流形上的周期哈密顿流进行了分类。此外，我们证明了所有这些空间都是 Kaehler 的，每一个这样的空间都由一个简单的模型通过一系列辛 blowup 得到，并且若不动点是孤立的则该空间是一个环簇。
引用
@article{arxiv.dg-ga/9510004,
title = {Periodic Hamiltonian flows on four dimensional manifolds},
author = {Yael Karshon},
journal= {arXiv preprint arXiv:dg-ga/9510004},
year = {2008}
}
备注
71 pages, LaTeX. The paper is essentially rewritten (following an excellent referee report): I clarified statements, simplified proofs, added missing details, and corrected a false proof of a true statement, which is currently in Appendix C