Circle-valued Morse Theory
Autor: | Andrei V. Pajitnov |
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EAN: | 9783110197976 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 22.08.2008 |
Kategorie: | |
Schlagworte: | Differentialgeometrie Differential geometry; Morse theory Morsetheorie |
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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.
Andrei Pajitnov, University of Nantes, France.