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Overview1.1 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. Full Product DetailsAuthor: SchwarzPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: Softcover reprint of the original 1st ed. 1993 Volume: 111 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.391kg ISBN: 9783034896887ISBN 10: 3034896883 Pages: 236 Publication Date: 08 October 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsThe proofs are written with great care, and Schwarz motivates all ideas with great skill...This is an excellent book. <br> - Bulletin of the AMS The proofs are written with great care, and Schwarz motivates all ideas with great skill...This is an excellent book. - Bulletin of the AMS Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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