Handle Slides and Localizations of Categories
arXiv:1110.2082 · doi:10.1093/imrn/rns108
Abstract
We propose a means by which some categorifications can be evaluated at a root of unity. This is implemented using a suitable localization in the context of prior work by the authors on categorification of the Jones-Wenzl projectors. Within this construction we define objects, invariant under handle slides, which decategorify to the SU(2) quantum invariants at low levels.
20 pages, 6 figures. v2: paper is unchanged, a technical problem with the files is fixed