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Morse Homology
Matthias Schwarz
€ 110.43
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Description for Morse Homology
Hardback. Presents a link between modern analysis and topology. Based upon classical Morse theory, this book develops the finite dimensional analogue of Floer homology which has come to play a significant role in geometry. It offers a systematic and comprehensive presentation of the analysis of moduli spaces. Series: Progress in Mathematics. Num Pages: 236 pages, biography. BIC Classification: PBPH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 240 x 165 x 21. Weight in Grams: 520.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
1993
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
236
Condition
New
Series
Progress in Mathematics
Number of Pages
236
Place of Publication
Basel, Switzerland
ISBN
9783764329044
SKU
V9783764329044
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Morse Homology
"The proofs are written with great care, and Schwarz motivates all ideas with great skill...This is an excellent book." - Bulletin of the AMS