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

By Liviu Nicolaescu

This self-contained therapy of Morse idea 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 conception, 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 good points of the second one variation comprise extra 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 variation additionally incorporates a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and numerous corrections from the 1st edition.

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