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An Invitation to Morse Theory

✍ Scribed by Liviu Nicolaescu

Publisher
Springer
Year
2011
Tongue
English
Leaves
353
Series
Universitext
Edition
2nd ed. 2011
Category
Library
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✦ Synopsis

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.Β 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 ofΒ  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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This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory (over the reals). The second part con