Skip to main content
SpringerLink
Log in
Birkhäuser

Morse Homology

  • Book
  • © 1993

Overview

Authors:
  1. Matthias Schwarz

    1. Mathematik, ETH Zentrum, Zürich, Switzerland

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Progress in Mathematics (PM, volume 111)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 69.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction

    • Matthias Schwarz
    Pages 1-19

  3. The Trajectory Spaces

    • Matthias Schwarz
    Pages 21-101

  4. Orientation

    • Matthias Schwarz
    Pages 103-132

  5. Morse Homology Theory

    • Matthias Schwarz
    Pages 133-198

  6. Extensions

    • Matthias Schwarz
    Pages 199-206

  7. Back Matter

    Pages 207-236
    Download chapter PDF
Back to top

Keywords

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.

Reviews

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

Authors and Affiliations

  • Mathematik, ETH Zentrum, Zürich, Switzerland

    Matthias Schwarz

Bibliographic Information

  • Book Title: Morse Homology

  • Authors: Matthias Schwarz

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8577-5

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel 1993

  • Hardcover ISBN: 978-3-7643-2904-4Published: 01 October 1993

  • Softcover ISBN: 978-3-0348-9688-7Published: 08 October 2012

  • eBook ISBN: 978-3-0348-8577-5Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: IX, 236

  • Topics: Topology, Analysis, Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation