Knots at Hellas 98: Proceedings of the International Conference on Knowt Theory and Its Ramifications 1st Edition by Cameron McA Gordon (PDF)

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    Ebook Info

    • Published: 2000
    • Number of pages: 565 pages
    • Format: PDF
    • File Size: 26.39 MB
    • Authors: Cameron McA Gordon

    Description

    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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