Author	Ghrist, Robert W. author
Title	Knots and Links in Three-Dimensional Flows [electronic resource] / by Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect to	http://dx.doi.org/10.1007/BFb0093387
Descript	X, 214 p. online resource

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 in Morse-smale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with low-dimensional topology and differential equations is assumed

Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks

1. Mathematics
2. Manifolds (Mathematics)
3. Complex manifolds
4. Mathematics
5. Manifolds and Cell Complexes (incl. Diff.Topology)