By Liviu Nicolaescu
This self-contained remedy of Morse conception makes a speciality of 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 corresponding to Morse-Smale flows, Floer homology, min-max conception, second maps and equivariant cohomology, and intricate Morse theory. The reader is predicted to have a few familiarity with cohomology thought and differential and indispensable calculus on soft manifolds.
Some good points of the second one version comprise extra functions, similar 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 encompasses a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and numerous corrections from the 1st edition.
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Additional info for An Invitation to Morse Theory (Universitext)
An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu