Lectures on Morse Homology
Download or Read eBook Lectures on Morse Homology PDF written by Augustin Banyaga and published by Springer Science & Business Media. This book was released on 2004-10-29 with total page 344 pages. Available in PDF, EPUB and Kindle.
Author | : Augustin Banyaga |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2004-10-29 |
ISBN-10 | : 1402026951 |
ISBN-13 | : 9781402026959 |
Rating | : 4/5 (51 Downloads) |
Book Synopsis Lectures on Morse Homology by : Augustin Banyaga
Book excerpt: 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.