出版社:世界图书出版公司北京公司
年代:2010
定价:35.0
本书是一部自成体系的Morse理论及其应用的教程,适用于微分拓扑和代数拓扑专业。
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
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.
书籍详细信息 | |||
书名 | Morse理论入门站内查询相似图书 | ||
9787510027291 如需购买下载《Morse理论入门》pdf扫描版电子书或查询更多相关信息,请直接复制isbn,搜索即可全网搜索该ISBN | |||
出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
版次 | 影印本 | 印次 | 1 |
定价(元) | 35.0 | 语种 | 英文 |
尺寸 | 23 × 15 | 装帧 | 平装 |
页数 | 264 | 印数 | 1000 |
Morse理论入门是世界图书出版公司北京公司于2010.9出版的中图分类号为 O231 的主题关于 Morse理论-教材-英文 的书籍。