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

ISBN: 9789810243401

Published: September 4th 2000

Hardcover

565 pages


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

Knots in Hellas 98 - Proceedings of the International Conference on Knot Theory and Its Ramifications by Cameron Gordon
September 4th 2000 | Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 565 pages | ISBN: 9789810243401 | 4.33 Mb

There have been exciting developments in the area of knot theory in recent years. They include Thurstons work on geometric structures on 3-manifolds (e.g. knot complements), Gordon -- Luecke work on surgeries on knots, Jones work on invariants ofMoreThere have been exciting developments in the area of knot theory in recent years. They include Thurstons 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 Thurstons 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 cover all those exciting topics.



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