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 subject matters resembling Morse-Smale flows, Floer homology, min-max idea, second maps and equivariant cohomology, and complicated Morse theory. The reader is predicted to have a few familiarity with cohomology idea and differential and quintessential calculus on delicate manifolds.
Some beneficial properties of the second one version contain extra purposes, 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 variation additionally incorporates 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 info for An Invitation to Morse Theory (Universitext)
An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu