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 resembling Morse-Smale flows, Floer homology, min-max conception, second maps and equivariant cohomology, and intricate Morse theory. The reader is predicted to have a few familiarity with cohomology concept and differential and indispensable calculus on tender manifolds.
Some good points of the second one version comprise extra functions, akin to Morse idea 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 numerous corrections from the 1st edition.
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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu