Lectures on Morse Homology

Lectures on Morse Homology
Author :
Publisher : Springer Science & Business Media
Total Pages : 330
Release :
ISBN-10 : 9781402026966
ISBN-13 : 140202696X
Rating : 4/5 (66 Downloads)

Book Synopsis Lectures on Morse Homology by : Augustin Banyaga

Download or read book Lectures on Morse Homology written by Augustin Banyaga and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 330 pages. Available in PDF, EPUB and Kindle. 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.


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