Liviu Nicolaescu's An Invitation to Morse Theory (Universitext) PDF

By Liviu Nicolaescu

This self-contained remedy of Morse idea makes a speciality of functions and is meant for a graduate direction on differential or algebraic topology. The booklet is split into 3 conceptually targeted components. the 1st half includes the principles of Morse idea (over the reals). the second one half includes purposes of Morse conception over the reals, whereas the final half describes the fundamentals and a few functions of complicated Morse thought, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate issues equivalent to Morse-Smale flows, min-max conception, second maps and equivariant cohomology, and complicated Morse thought. The exposition is more suitable with examples, difficulties, and illustrations, and may 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 indispensable calculus on gentle manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at college of Notre Dame.

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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

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