By Liviu Nicolaescu
This self-contained remedy of Morse concept makes a speciality of functions and is meant for a graduate direction on differential or algebraic topology, and also will be of curiosity to researchers. This is the 1st textbook to incorporate themes reminiscent of Morse-Smale flows, Floer homology, min-max thought, second maps and equivariant cohomology, and intricate Morse theory. The reader is anticipated to have a few familiarity with cohomology idea and differential and essential calculus on soft manifolds.
Some positive aspects of the second one variation comprise additional functions, equivalent to Morse concept and the curvature of knots, the cohomology of the moduli house of planar polygons, and the Duistermaat-Heckman formulation. the second one version additionally contains a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and numerous corrections from the 1st edition.
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Extra resources for An Invitation to Morse Theory (Universitext)
An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu