An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

By Liviu Nicolaescu

This self-contained therapy of Morse idea 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 similar to Morse-Smale flows, Floer homology, min-max conception, second maps and equivariant cohomology, and intricate Morse theory. The reader is anticipated to have a few familiarity with cohomology thought and differential and essential calculus on soft manifolds.
 
Some beneficial properties of the second one version contain further functions, resembling  Morse concept and the curvature of  knots, the cohomology of the moduli area 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 routines, and diverse corrections from the 1st edition.

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