Knots in Hellas '98 - Proceedings of the International Conference on Knot Theory and Its Ramifications

ISBN-13: 9789810243401 / Angielski / Twarda / 2000 / 580 str.

Cameron Gordon; Vaughan F. R. Jones; Louis H. Kauffman

Opis

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.