nLab
colored Jones polynomial

Contents

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 NN-colored Jones polynomial J N(K,q)J_N(K, q) involves instead the NN-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.