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Catalogue Information
Field name	Details
Dewey Class	514.34
Title	Knots and Links in Three-Dimensional Flows ([EBook] /) / by Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan.
Author	Ghrist, Robert W.
Added Personal Name	Holmes, Philip J. author.
Added Personal Name	Sullivan, Michael C. author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1997.
Physical Details	X, 214 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1654
ISBN	9783540683476
Summary Note	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.:
Contents note	Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0093387
Links to Related Works	Subject References: Complex manifolds . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematics . Authors: Ghrist, Robert W. . Holmes, Philip J. . Sullivan, Michael C. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 514.34 .

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Knots and Links in Three-Dimensional Flows

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