An Invitation to Morse Theory

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This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, ...

An Invitation to Morse Theory 2011, Springer

ISBN-13: 9781461411048

2nd 2011 edition

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An Invitation to Morse Theory 2007, Springer, New York, NY

ISBN-13: 9780387495095

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