Quantum Knot Invariants

Details Quantum Knot Invariants Quantum Knot Invariants

2012-01-16

arxiv.org/abs/1201.3314v2

Mathematics

Geometric Topology

17 pages, 13 figures, Arbeitstagung talk Bonn 2011

Scientific paper

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.

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