Download An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu PDF

By Liviu Nicolaescu

This self-contained therapy of Morse thought makes a speciality of functions and is meant for a graduate path on differential or algebraic topology. The publication is split into 3 conceptually exact elements. the 1st half includes the principles of Morse thought (over the reals). the second one half comprises purposes of Morse idea over the reals, whereas the final half describes the fundamentals and a few purposes of complicated Morse idea, a.k.a. Picard-Lefschetz theory.
This is the 1st textbook to incorporate issues reminiscent of Morse-Smale flows, min-max idea, second maps and equivariant cohomology, and intricate 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 predicted to have a few familiarity with cohomology thought and with the differential and quintessential calculus on tender manifolds.
Liviu Nicolaescu is affiliate Professor of arithmetic at collage of Notre Dame.

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