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Topics in Knot Theory : Proceedings of the NATO Advanced Study Institute on Topics in Knot Theory, Erzurum, Turkey, September 1-12, 1992

By: M.E. BozhÃ¼yÃ¼k (Editor)

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372 Pages

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24.13 x 16.51 x 2.54

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Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions.
For mathematicians, graduate students and scientists interested in knot theory.

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Non-Fiction Mathematics Geometry Computing & I.T.Graphical & Digital Media Applications Groups & Group Theory Topology Science Physics Applied Mathematics Algebra

Preface
About the Editor
List of Participants
Knot Projections and Knot Coverings	p. 1
Knots and Knot Spaces	p. 15
Knot Groups	p. 25
An Introduction to Species and the Rack Space	p. 33
Some Remarks on the Braid-Permutation Group	p. 57
Introduction to Topological Imitations of (3,1)-Dimensional Manifold Pairs	p. 69
A Wild Variation of Artin's Braids	p. 85
Invariants of Links and 3-Manifolds from Skein Theory and from Quantum Groups	p. 107
Classical Numerical Invariants in Knot Theory	p. 157
The Quest for a Knot with Trivial Jones Polynomial: Diagram Surgery and the Temperley-Lieb Algebra	p. 195
Twisted Topological Invariants Associated with Representations	p. 211
On the Alexander and Jones Polynomial	p. 229
Hyperbolic 3-dimensional Orbifolds	p. 259
Irregular Dihedral Branched Coverings of Knots	p. 269
2-Dimensional Braids and Chart Descriptions	p. 277
On Links Embedded into Surfaces of Heegaard Splittings of S[superscript 3]	p. 289
A Search for Kernels of Burau Representations	p. 305
The Witten-Reshitikhin-Turaev Invariant for Three-Manifolds	p. 319
Index	p. 349
Table of Contents provided by Blackwell. All Rights Reserved.

Topics in Knot Theory : Proceedings of the NATO Advanced Study Institute on Topics in Knot Theory, Erzurum, Turkey, September 1-12, 1992

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Hardcover

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