E-Book, Englisch, Band 29, 326 Seiten, eBook
Banyaga / Hurtubise Lectures on Morse Homology
2004
ISBN: 978-1-4020-2696-6
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 29, 326 Seiten, eBook
Reihe: Texts in the Mathematical Sciences
ISBN: 978-1-4020-2696-6
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
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.
