Knots In Hellas '98 - Proceedings Of The International Conference On Knot Theory And Its Ramifications
Seiten
2000
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-4340-1 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-4340-1 (ISBN)
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There were many developments in the area of knot theory in the 1990s. They include Thurston's work on geometric structures on 3-manifolds, Gordon-Luecke's work on surgeries on knots, and Jones' work on invariants of links in S3. This proceedings volume covers all those topics.
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.
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.
TQFT invariants at infinity for the Whitehead manifold, H. Abchir; new knot and link invariants, T. Fiedler and A. Stoimenov; the planar algebra of a bipartite graph, V.F.R. Jones; a survey of virtual knot theory, L. Kauffman; extended braids and links, R. Fenn and E. Keyman; Monte Carlo exploration of polygonal knot spaces, K.C. Millett; towards a complexity measure theory of vortex tangles, R.L. Ricca; virtual knot groups, D.S. Silver and S.G. Williams; periodic knots with delta-unknotting number one, Y. Uchida. (Part contents)
| Erscheint lt. Verlag | 5.9.2000 |
|---|---|
| Reihe/Serie | Series on Knots & Everything ; 24 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 981-02-4340-5 / 9810243405 |
| ISBN-13 | 978-981-02-4340-1 / 9789810243401 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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