Morse Theory and Floer Homology

by Mihai Damian and Michèle Audin

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:...

• Format: Paperback
• Language: English
• ISBN: 1447154959
• ISBN13: 9781447154952
• Release Date: December 2013
• Publisher: Springer
• Length: 596 Pages
• Weight: 1.86 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"