Morse Homology (Progress in Mathematics, 111) 1993rd Edition by Schwarz (PDF)

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Ebook Info

  • Published: 1993
  • Number of pages: 245 pages
  • Format: PDF
  • File Size: 3.01 MB
  • Authors: Schwarz

Description

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.

User’s Reviews

Editorial Reviews: Review “The proofs are written with great care, and Schwarz motivates all ideas with great skill…This is an excellent book.” – Bulletin of the AMS

Keywords

Free Download Morse Homology (Progress in Mathematics, 111) 1993rd Edition in PDF format
Morse Homology (Progress in Mathematics, 111) 1993rd Edition PDF Free Download
Download Morse Homology (Progress in Mathematics, 111) 1993rd Edition 1993 PDF Free
Morse Homology (Progress in Mathematics, 111) 1993rd Edition 1993 PDF Free Download
Download Morse Homology (Progress in Mathematics, 111) 1993rd Edition PDF
Free Download Ebook Morse Homology (Progress in Mathematics, 111) 1993rd Edition

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