辛同调、自治 Hamilton 量与 Morse-Bott 模空间
辛几何
2008-04-30 v2
摘要
我们定义了具有接触型边界的辛流形上时间无关（或自治）Hamilton 量的 Floer 同调，假设其 1-周期轨道是横截非退化的。我们的构造基于 Floer 轨道的 Morse-Bott 技术。我们的主要动机是理解可填充接触流形的线性化接触同调与其填充的辛同调之间的关系。
引用
@article{arxiv.0704.1039,
title = {Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces},
author = {Frédéric Bourgeois and Alexandru Oancea},
journal= {arXiv preprint arXiv:0704.1039},
year = {2008}
}
备注
Final version, 92 pages, 7 figures, index of notations. Remark 4.9 in Version 1 is wrong. To correct it we modified the weights for the Sobolev spaces along the gradient trajectories (Figure 3). Proposition 4.8 in Version 1 is now split into Propositions 4.8 and 4.9. This version contains full details for the second derivative estimates in Lemma 4.20