Knots in Hellas '98 Proceedings of the International Conference on Knot Theory and Its Ramifications
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ISBN-13:
9789810243401
ISBN:9810243405
Publisher: World Scientific Publishing Company, Incorporated Summary: 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 [read more]
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ISBN-13:
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Publisher: World Scientific Publishing Company, Incorporated
9789810243401
ISBN:
9810243405
Publisher: World Scientific Publishing Company, Incorporated
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 cover all those exciting topics.
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