By Liviu Nicolaescu
This self-contained therapy 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 subject matters resembling 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 critical calculus on soft manifolds.
Some positive aspects of the second one variation contain extra purposes, corresponding to Morse conception and the curvature of knots, the cohomology of the moduli house of planar polygons, and the Duistermaat-Heckman formulation. the second one variation additionally contains a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and diverse corrections from the 1st edition.
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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu