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Könyv Lectures on Morse Homology Augustin Banyaga

Lectures on Morse Homology

Szerző: Augustin Banyaga, David Hurtubise
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer Netherlands
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
31 487 Ft
This book presents in great detail all the results one needs to prove the Morse Homology Theorem usi...

Információk a könyvről

Szerző
Augustin Banyaga, David Hurtubise
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2005
oldal
326
EAN
9781402026959
ISBN
1402026951
Enbook ID
05256165
Kiadó
Springer Netherlands
Súly
632
Méretek
239 x 173 x 30

Teljes leírás

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 book 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.

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