Description: Based on a graduate course, this introduction to modern methods of symplectic topology explains the solution of an important problem originating from classical mechanics: the 'Arnold conjecture'. Presents building blocks of Floer homology and more.
Review Quotes:
From the book reviews:
"The present book is an excellent, detailed and self-contained introduction to Morse theory and Floer homology which makes both topics easily accessible to graduate or even advanced undergraduate students." (Sonja Hohloch, Mathematical Reviews, August, 2014)
"Morse Theory and Floer Homology is a relatively high-level introduction to, and in fact a full account of, the extremely elegant and properly celebrated solution to the Arnol'd problem by the prodigious and tragic Andreas Floer ... . the book is exceptionally well written. Indeed, this is a very good book on a beautiful and important subject and will richly repay those who take the time to work through it." (Michael Berg, MAA Reviews, February, 2014)