Lectures on Morse homology
Author(s)
Bibliographic Information
Lectures on Morse homology
（Kluwer texts in the mathematical sciences, v. 29）
Kluwer Academic Publishers, c2004
- : hb
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Note
"A graduate-level book series"--P. facing t.p
"Based on the lecture notes from a course we taught at Penn State University during the fall of 2002"--Pfef
Includes bibliographical references (p. [309]-315) and index
Description and Table of Contents
Description
This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.
Table of Contents
1. Introduction.- 2. The CW-Homology Theorem.- 3. Basic Morse Theory.- 4. The Stable/Unstable Manifold Theorem.- 5. Basic Differential Topology.- 6. Morse-Smale Functions.- 7. The Morse Homology Theorem.- 8. Morse Theory On Grassmann Manifolds.- 9. An Overview of Floer Homology Theories.- Hints and References for Selected Problems.- Symbol Index.
by "Nielsen BookData"
