nLab colored Jones polynomial

Contents

Context

Knot theory

knot theory

Examples/classes:

Types

knot invariants

Related concepts:

category: knot theory

Contents

Idea

The colored Jones polynomial of a knot or link is a generalization of the Jones polynomial. The latter may be seen as ‘colored’ by the defining 2-dimensional complex linear representation of SU(2), where the $N$-colored Jones polynomial $J_N(K, q)$ involves instead the $N$-dimensional irreducible representation.

References

Relation of the colored Jones polynomial to Lie algebra weight systems on chord diagrams:

In relation to the volume conjecture:

Last revised on December 27, 2019 at 17:06:02. See the history of this page for a list of all contributions to it.