Categorifications of the colored Jones polynomial
- Author(s): Khovanov, Mikhail
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0302060.pdf
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.