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Circle-Valued Morse Theory (de Gruyter Studies in Mathematics 32) (De Gruyter Studies in Mathematics) by Andrei V. Pajitnov is a nonfiction available to read on EtoBox.

What is Circle-Valued Morse Theory (de Gruyter Studies in Mathematics 32) (De Gruyter Studies in Mathematics) about?

In 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. Frontmatter -- Contents -- Preface -- Introduction -- Part 1. Morse Functions And Vector Fields On -- Manifolds -- Chapter 1. Vector Fields And C0 Topology -- Chapter 2. Morse Functions And Their -- Gradients -- Chapter 3. Gradient Flows Of Real-valued Mors

Who reads Circle-Valued Morse Theory (de Gruyter Studies in Mathematics 32) (De Gruyter Studies in Mathematics)?

Author

Andrei V. Pajitnov

Publisher

Walter de Gruyter GmbH & Co

Published

2006

Language

EN

ISBN

9783110197976

Category

nonfiction

Subjects

Mathematics, Stem