Andrei V. Pajitnov

Circle-valued Morse Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

In 1927 M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. It is a large and actively developing domain of differential topology, with applications and connections to many geometrical problems. The aim of the present book is to give a systematic treatment of the geometric foundations of a subfield of that topic, the circle-valued Morse functions, a subfield of Morse theory.

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Produktdetails

• Verlag: Walter de Gruyter
• Seitenzahl: 463
• Erscheinungstermin: 22. August 2008
• Englisch
• ISBN-13: 9783110197976
• Artikelnr.: 44650004

Autorenporträt

Andrei Pajitnov, University of Nantes, France.

Rezensionen

"Overall the book covers a lot of material in a style and detail that should be easily accessible to both graduate students and researchers wanting to learn the subject."
Dirk Schütz in: Mathematical Reviews 2008

"The book under review is a very nice and valuable text on the Morse-Novikov theory. It can help anyone who wants to learn the basis of the theory as well as some more recent and advanced developments and applications."
Davod Chataur in: Zentralblatt MATH 1118/2007