|
|
libcats.org
Circle-Valued Morse TheoryAndrei PajitnovIn the early 1920s 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.
Circle-valued Morse theory originated from a problem in hydrodynamics studied by S. P. Novikov in the early 1980s. Nowadays, it is a constantly growing field of contemporary mathematics with applications and connections to many geometrical problems such as Arnold's conjecture in the theory of Lagrangian intersections, fibrations of manifolds over the circle, dynamical zeta functions, and the theory of knots and links in the three-dimensional sphere. The aim of the book is to give a systematic treatment of geometric foundations of the subject and recent research results. The book is accessible to first year graduate students specializing in geometry and topology. EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Solid State Ionics for BatteriesАвтор: M. Tatsumisago, Автор: M. Wakihara, Автор: C. Iwakura, Автор: S. Kohjiya, Автор: I. Tanaka, Автор: T. Minami
Размер книги: 4.37 Mb
Karl Marx and the Close of His System - Böhm-Bawerk Criticism of Marx - On the Correction of Marx's Fundamental Theoretical Construction in the Third Volume of CapitalАвтор: Eugen von Böhm-Bawerk , Автор: Rudolf Hilferding , Автор: Ladislaus von Bortkiewicz
Размер книги: 10.52 Mb
Century of genocide: critical essays and eyewitness accountsАвтор: Samuel Totten, Автор: William S. Parsons
Размер книги: 4.20 Mb
|
|
|