Categorifications of the colored Jones polynomial
Quantum Algebra
2007-05-23 v1
Abstract
The colored Jones polynomial of links has two natural normalizations: one in which the n-colored unknot evaluates to [n+1], the quantum dimension of the (n+1)-dimensional irreducible representation of quantum sl(2), and the other in which it evaluates to 1. For each normalization we construct a bigraded cohomology theory of links with the colored Jones polynomial as the Euler characteristic.
Keywords
Cite
@article{arxiv.math/0302060,
title = {Categorifications of the colored Jones polynomial},
author = {Mikhail Khovanov},
journal= {arXiv preprint arXiv:math/0302060},
year = {2007}
}
Comments
23 pages, latex, 16 eps figures