Lectures on Morse Homology by Augustin Banyaga, David Hurtubise.

This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo rem 7.4) at a level appropriate for second year graduate students. The course w...

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Bibliographic Details
Main Authors:	Banyaga, Augustin (Author), Hurtubise, David (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Dordrecht : Springer Netherlands : Imprint: Springer, 2004.
Edition:	1st ed. 2004.
Series:	Texts in the Mathematical Sciences, 29 Springer eBook Collection.
Subjects:	Global analysis (Mathematics). Manifolds (Mathematics). Complex manifolds. Algebraic topology. Differential equations. Topological groups. Lie groups. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

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.

Lectures on Morse Homology by Augustin Banyaga, David Hurtubise.

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