关于度量无关的奇异同调
On the Metric Independent Exotic Homology
摘要：
本文以微分形式的各种子复形为基础，讨论了不同类型的非标准同调群，这是作者近期工作的继续。其中一些结果反映了紧致流形上动力系统的一些有趣的性质。为了研究它们，我们发展了一种特殊的扰动理论，即谱序列。在某些情况下，一个方便的费米子形式主义处理微分形式使用起源于工作的威滕在莫尔斯理论（1982年）和作者的工作，其中一些非标准的模拟莫尔斯不等式的向量场被发现（1986年）。
英文摘要：
Different types of nonstandard homology groups based on the various subcomplexes of differential forms are considered as a continuation of the recent authors works. Some of them reflect interesting properties of dynamical systems on the compact manifolds. In order to study them a Special Perturbation Theory in the form of Spectral Sequences is developed. In some cases a convenient fermionic formalism of dealing with differential forms is used originated from the work of Witten in the Morse Theory (1982)and the authors work where some nonstandard analog of Morse Inequalities for vector fields was found (1986).
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