An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu
By Liviu Nicolaescu
This self-contained remedy of Morse concept specializes in functions 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 similar to Morse-Smale flows, Floer homology, min-max idea, second maps and equivariant cohomology, and complicated Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and indispensable calculus on delicate manifolds.
Some beneficial properties of the second one variation comprise additional functions, resembling Morse thought and the curvature of knots, the cohomology of the moduli house 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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