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Morse Theory and Floer Homology

Morse Theory and Floer Homology

Paperback

Series: Universitext

General MathematicsGeometry

ISBN10: 1447154959
ISBN13: 9781447154952
Publisher: Springer Nature
Published: Dec 17 2013
Pages: 596
Weight: 1.86
Height: 1.24 Width: 6.14 Depth: 9.21
Language: English

Introduction to Part I.- Morse Functions.- Pseudo-Gradients.- The Morse Complex.- Morse Homology, Applications.- Introduction to Part II.- What You Need To Know About Symplectic Geometry.- The Arnold Conjecture and the Floer Equation.- The Maslov Index.- Linearization and Transversality.- Spaces of Trajectories.- From Floer To Morse.- Floer Homology: Invariance.- Elliptic Regularity.- Technical Lemmas.- Exercises for the Second Part.- Appendices: What You Need to Know to Read This Book.

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General Mathematics