English

Quantum Knot Invariants

Geometric Topology 2013-04-03 v3

Abstract

This is a survey talk on one of the best known quantum knot invariants, the colored Jones polynomial of a knot, and its relation to the algebraic/geometric topology and hyperbolic geometry of the knot complement. We review several aspects of the colored Jones polynomial, emphasizing modularity, stability and effective computations. The talk was given in the Mathematische Arbeitstagung June 24-July 1, 2011. Updated the bibliography.

Keywords

Cite

@article{arxiv.1201.3314,
  title  = {Quantum Knot Invariants},
  author = {Stavros Garoufalidis},
  journal= {arXiv preprint arXiv:1201.3314},
  year   = {2013}
}

Comments

17 pages, 13 figures, Arbeitstagung talk Bonn 2011

R2 v1 2026-06-21T20:05:13.824Z