An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

By Liviu Nicolaescu

This self-contained therapy of Morse conception makes a speciality of purposes and is meant for a graduate direction on differential or algebraic topology. The booklet is split into 3 conceptually particular components. the 1st half includes the rules of Morse thought (over the reals). the second one half comprises purposes of Morse concept over the reals, whereas the final half describes the fundamentals and a few functions of advanced Morse conception, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate subject matters equivalent to Morse-Smale flows, min-max idea, second maps and equivariant cohomology, and complicated Morse conception. The exposition is superior 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 necessary calculus on soft manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at college of Notre Dame.

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