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Lectures On Morse Homology






Pub Date: 
Publisher:  Springer
Summary: This book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900's in some form or other, but often the results are proved in different contexts with a multitude of different notations and different goals. This b...ook collects all these results together into a single reference with complete and detailed proofs. The core material in this book 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. More advanced topics include Morse theory on Grassmann manifolds and Lie groups, and an overview of Floer homology theories. With the stress on completeness and by its elementary approach to Morse homology, this book is suitable as a textbook for a graduate level course, or as a reference for working mathematicians and physicists.

Banyaga, Augustin is the author of Lectures On Morse Homology, published 2005 under ISBN 9781402026959 and 1402026951. Two hundred one Lectures On Morse Homology textbooks are available for sale on ValoreBooks.com, fifty used from the cheapest price of $93.00, or buy new starting at $93.00.
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Lectures On Morse Homology

ISBN-13: 9781402026959

ISBN: 1402026951

Pub Date:
Publisher: Springer
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