By Liviu Nicolaescu
This self-contained therapy of Morse idea makes a speciality of purposes 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 concept, 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 delicate manifolds.
Some positive factors of the second one version contain further functions, reminiscent of Morse conception and the curvature of knots, the cohomology of the moduli house of planar polygons, and the Duistermaat-Heckman formulation. the second one version additionally features a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new routines, and diverse corrections from the 1st edition.
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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu
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