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Progress in Mathematics

Morse Homology

Authors: Schwarz

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About this book

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.

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    "The proofs are written with great care, and Schwarz motivates all ideas with great skill...This is an excellent book."   
  - Bulletin of the AMS   

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-0348-8577-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-7643-2904-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $59.99
price for USA in USD
  • ISBN 978-3-0348-9688-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Morse Homology
Authors
Series Title
Progress in Mathematics
Series Volume
111
Copyright
1993
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-8577-5
DOI
10.1007/978-3-0348-8577-5
Hardcover ISBN
978-3-7643-2904-4
Softcover ISBN
978-3-0348-9688-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
IX, 236
Topics