Download PDF by Liviu Nicolaescu: An Invitation to Morse Theory (Universitext)

By Liviu Nicolaescu

This self-contained remedy of Morse concept specializes in 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 comparable to Morse-Smale flows, Floer homology, min-max thought, second maps and equivariant cohomology, and complicated Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and essential calculus on gentle manifolds.
Some good points of the second one version comprise additional purposes, equivalent to  Morse concept 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 workouts, and diverse corrections from the 1st edition.

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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

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