An Invitation to Morse Theory (Universitext) - download pdf or read online

By Liviu Nicolaescu

This self-contained remedy of Morse concept specializes in functions and is meant for a graduate direction on differential or algebraic topology. The e-book is split into 3 conceptually detailed components. the 1st half comprises the rules of Morse conception (over the reals). the second one half contains functions of Morse thought over the reals, whereas the final half describes the fundamentals and a few purposes of complicated Morse thought, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate themes equivalent to Morse-Smale flows, min-max concept, second maps and equivariant cohomology, and complicated Morse idea. The exposition is better with examples, difficulties, and illustrations, and should be of curiosity to graduate scholars in addition to researchers. The reader is predicted to have a few familiarity with cohomology idea and with the differential and fundamental calculus on gentle manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at collage of Notre Dame.

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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

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