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Series on Knots and Everything - Vol. 24
KNOTS IN HELLAS '98
Proceedings of the International Conference on Knot Theory and Its Ramifications
European Cultural Centre of Delphi, Greece 7 - 15 August 1998
edited by C McA Gordon (University of Texas, USA), V F R Jones (University of California, Berkeley, USA), L Kauffman (University of Illinois, Chicago, USA), S Lambropoulou (University of Göttingen, Germany) & J H Przytycki (George Washington University, USA)
There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon–Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2,C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those exciting topics.
Contents:
- TQFT Invariants at Infinity for the Whitehead Manifold (H Abchir)
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New Knot and Link Invariants (T Fiedler & A Stoimenov)
- The Planar Algebra of a Bipartite Graph (V F R Jones)
- A Survey of Virtual Knot Theory (L Kauffman)
- Extended Braids and Links (R Fenn & E Keyman)
- Monte Carlo Exploration of Polygonal Knot Spaces (K C Millett)
- Towards a Complexity Measure Theory of Vortex Tangles (R L Ricca)
- Virtual Knot Groups (D S Silver & S G Williams)
- Periodic Knots with Delta-Unknotting Number One (Y Uchida)
- and other papers
Readership: Researchers and graduate students in topology, theoretical
physics, molecular biology and polymer chemistry.
| 580pp |
Pub. date: Sept 2000 |
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