By Liviu Nicolaescu
This self-contained therapy of Morse conception makes a speciality of purposes and is meant for a graduate path on differential or algebraic topology, and also will be of curiosity to researchers. This is the 1st textbook to incorporate issues equivalent to Morse-Smale flows, Floer homology, min-max concept, second maps and equivariant cohomology, and intricate Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and vital calculus on tender manifolds.
Some gains of the second one version comprise further purposes, comparable to Morse conception and the curvature of knots, the cohomology of the moduli area 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