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Categorifications of the colored Jones polynomial
Published Web Location
https://arxiv.org/pdf/math/0302060.pdfNo data is associated with this publication.
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.