莫尔斯理论入门

出版时间：2010-9  出版社：世界图书出版公司  作者：尼古莱斯库  页数：241  
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内容概要

as the the title suggests, the goal of this book is to give the reader a taste of the "unreasonable effectiveness" of morse theory. the main idea behind thistechnique can be easily visualized.　　suppose m is a smooth, compact manifold, which for simplicity we assume is embedded in a euclidean space e. we would like to understand basictopological invariants of m such as its homology, and we attempt a "slicing" technique.

书籍目录

preface notations and conventions 1 morse functions 　1.1 the local structure of morse functions 　1.2 existence of morse functions 2 the topology of morse functions 　2.1 surgery, handle attachment, and cobordisms. 　2.2 the topology of sublevel sets 　2.3 morse inequalities 　2.4 morse-smale dynamics 　2.5 morse-floer homology 　2.6 morse-bott functions 　2.7 min-max theory 3　applications 　3.1 the cohomology of complex grassmannians 　3.2 lefschetz hyperplane theorem 　3.3 symplectic manifolds and hamiltonian flows 　3.4 morse theory of moment maps 　3.5 s1-equivariant localization 4 basics of complex morse theory

用户评论 (总计4条)

•   学习morse理论的不错入门书
•   很好的莫尔斯理论入门书。
•   这是全英文的。。。
•   如题，那本是经典，比较短小精悍，再看这本收获更多