Knots and Links in Three-Dimensional Flows

• Main Authors: Ghrist, Robert W. (Author, http://id.loc.gov/vocabulary/relators/aut), Holmes, Philip J. (http://id.loc.gov/vocabulary/relators/aut), Sullivan, Michael C. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1654
• Subjects: Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

The closed orbits of three-dimensional flows form knots and links. This book develops the tools - template theory and symbolic dynamics - needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits...

Table of Contents:

• Prerequisites
• Templates
• Template theory
• Bifurcations
• Invariants
• Concluding remarks.