An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

By Liviu Nicolaescu

This self-contained therapy of Morse concept specializes in 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 corresponding to Morse-Smale flows, Floer homology, min-max thought, second maps and equivariant cohomology, and complicated Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and essential calculus on tender manifolds.
 
Some positive aspects of the second one version contain additional functions, similar to  Morse thought and the curvature of  knots, the cohomology of the moduli area 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 diverse corrections from the 1st edition.

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