A quantum introduction to knot theory. (English) Zbl 1134.57301
Kohno, Toshitake (ed.) et al., Primes and knots. Proceedings of an AMS special session, Baltimore, MD, USA, January 15–16, 2003 and the 15th JAMI (Japan-US Mathematics Institute) conference, Baltimore, MD, USA, March 7–16, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3456-8/pbk). Contemporary Mathematics 416, 137-165 (2006).
Summary: This is an introduction to knot theory for non-specialists, focused on quantum invariants. I describe the homologies of covering spaces of a knot, the Alexander polynomial, the HOMFLY polynomial, the colored Jones polynomial, and the volume conjecture. There are essentially no new results in this article.
For the entire collection see [Zbl 1102.11001].
For the entire collection see [Zbl 1102.11001].
MSC:
| 57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
