Handle Slides and Localizations of Categories

Details Handle Slides and Localizations of Categories Handle Slides and Localizations of Categories

2011-10-10

arxiv.org/abs/1110.2082v2

Mathematics

Quantum Algebra

20 pages, 6 figures. v2: paper is unchanged, a technical problem with the files is fixed

Scientific paper

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.

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