Handle Slides and Localizations of Categories
Quantum Algebra
2014-09-30 v2 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1110.2082,
title = {Handle Slides and Localizations of Categories},
author = {Benjamin Cooper and Vyacheslav Krushkal},
journal= {arXiv preprint arXiv:1110.2082},
year = {2014}
}
Comments
20 pages, 6 figures. v2: paper is unchanged, a technical problem with the files is fixed