Circle-valued Morse Theory

Circle-valued Morse Theory
Author :
Publisher : Walter de Gruyter
Total Pages : 463
Release :
ISBN-10 : 9783110197976
ISBN-13 : 3110197979
Rating : 4/5 (76 Downloads)

Book Synopsis Circle-valued Morse Theory by : Andrei V. Pajitnov

Download or read book Circle-valued Morse Theory written by Andrei V. Pajitnov and published by Walter de Gruyter. This book was released on 2006-01-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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