Stavros Garoufalidis
Published 2012-01-16, updated 2013-04-02Version 3
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.
Comments: 17 pages, 13 figures, Arbeitstagung talk Bonn 2011
Quadratic integer programming and the slope conjecture
Colored Jones polynomials with polynomial growth
On the asymptotic expansions of various quantum invariants II: the colored Jones polynomial of twist knots at the root of unity $e^{\frac{2π\sqrt{-1}}{N+\frac{1}{M}}}$ and $e^{\frac{2π\sqrt{-1}}{N}}$
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