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Knots In Hellas '98 - Proceedings Of The International Conference On Knot Theory And Its Ramifications

Edited by Cameron Mca Gordon, Edited by Vaughan F R Jones, Edited by Louis H Kauffman, Edited by Sofia Lambropoulou, Edited by Jozef H Przytycki

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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.

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