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 themes similar to Morse-Smale flows, Floer homology, min-max thought, second maps and equivariant cohomology, and intricate Morse theory. The reader is anticipated to have a few familiarity with cohomology thought and differential and vital calculus on delicate manifolds.
Some good points of the second one version comprise further functions, akin 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 version 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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