Read e-book online An Invitation to Morse Theory (Universitext) PDF

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By Liviu Nicolaescu

This self-contained therapy of Morse conception specializes in purposes and is meant for a graduate direction on differential or algebraic topology. The publication is split into 3 conceptually designated elements. the 1st half comprises the principles of Morse idea (over the reals). the second one half comprises purposes of Morse conception over the reals, whereas the final half describes the fundamentals and a few functions of complicated Morse concept, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate issues resembling Morse-Smale flows, min-max idea, second maps and equivariant cohomology, and complicated Morse concept. The exposition is improved with examples, difficulties, and illustrations, and should be of curiosity to graduate scholars in addition to researchers. The reader is anticipated to have a few familiarity with cohomology conception and with the differential and necessary calculus on soft 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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