| 书目名称 | Morse Homology | | 编辑 | Matthias Schwarz | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | 1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley‘s continuation principle. The latter will be useda s an instrument to express the homology encoded in a Morse complex associated to a fixed Morse function independent of this function. Originally, this type of Morse-theoretical tool was developed by Andreas Floer in order to find a proof of the famous Arnold conjecture, whereas classical Morse theory turned out to fail in the infinite-dimensional setting. In this framework, the homological variant of Morse theory is also known as Floer homology. This kind of homology theory is the central topic of this book. But first, it seems worthwhile to outline the standard Morse theory. 1.1.1 Classical Morse Theory The fact that Morse theory can be formulated in a homological way is by no means a new idea. The reader is referred to the excellent survey paper by Raoul Bott [Bol. | | 出版日期 | Book 1993 | | 关键词 | Finite; Manifold; Morphism; Topology; calculus; function; geometry; proof; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8577-5 | | isbn_softcover | 978-3-0348-9688-7 | | isbn_ebook | 978-3-0348-8577-5Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel 1993 |
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发表于 2025-3-21 19:28:31
