By Liviu Nicolaescu
ISBN-10: 1461411041
ISBN-13: 9781461411048
This self-contained therapy of Morse concept 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 subject matters resembling Morse-Smale flows, Floer homology, min-max concept, second maps and equivariant cohomology, and intricate Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and essential calculus on soft manifolds.
Some positive factors of the second one variation comprise additional functions, equivalent 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 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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