An Invitation to Morse Theory

• Main Author: Nicolaescu, Liviu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Series: Universitext,
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Complex manifolds.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).

This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory. The second part consists of applicat...

Table of Contents:

• Preface
• Notations and Conventions
• 1 Morse Functions
• 2 The Topology of Morse Functions
• 3 Applications
• 4 Morse-Smale Flows and Whitney Stratifications
• 5 Basics of Complex Morse Theory
• 6 Exercises and Solutions
• References
• Index.