Augustin Banyaga,
David Hurtubise
Lectures on Morse Homology
Paperback Engels 2010 9789048167050
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9789048167050
Taal:Engels
Bindwijze:paperback
Aantal pagina's:326
Uitgever:Springer Netherlands
Druk:0
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Inhoudsopgave
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.
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