EAN: 9781461411048

UNIVERSITEXT AN INVITATION TO MORSE THEORY - ...

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  and the
Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale
flows and Whitney stratifications  many new exercises  and various corrections from the first
edition.

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