Knots in Hellas '98: Proceedings of the International Conference on Knot Theory and Its Ramifications European Cultural Centre of Delphi, Greece 7-15

Knots in Hellas '98: Proceedings of the International Conference on Knot Theory and Its Ramifications European Cultural Centre of Delphi, Greece 7-15

By: Cameron Gordon (editor), V. F. R. Jones (editor), J. H. Przytycki (editor), L. Kauffman (editor), S. Lambropoulou (editor)Hardback

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Description

There were many developments in the area of knot theory in the 1990s. They include Thurston's work on geometric structures on 3-manifolds (such as knot complements), Gordon-Luecke's 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 with the following path: hyperbolic structures, PSL(2,C) representations, character varieties, quantization of the co-ordinate ring of the variety to skein modules (such as Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those topics.

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Contents

TQFT invariants at infinity for the Whitehead manifold, H. Abchir; new knot and link invariants, T. Fiedler and 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 and 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 and S.G. Williams; periodic knots with delta-unknotting number one, Y. Uchida. (Part contents)

Product Details

  • publication date: 05/09/2000
  • ISBN13: 9789810243401
  • Format: Hardback
  • Number Of Pages: 580
  • ID: 9789810243401
  • weight: 1175
  • ISBN10: 9810243405

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