Journal article
Handle Slides and Localizations of Categories
International mathematics research notices, Vol.2013(10), pp.2179-2202
01/01/2013
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 localized category, we define objects that decategorify to the SU(2) quantum invariants at low levels. These objects are invariant under handle slides, a property important for defining invariants of 3-manifolds in the context of Kirby calculus.
Details
- Title: Subtitle
- Handle Slides and Localizations of Categories
- Creators
- Benjamin Cooper - University of VirginiaVyacheslav Krushkal - University of Virginia
- Resource Type
- Journal article
- Publication Details
- International mathematics research notices, Vol.2013(10), pp.2179-2202
- DOI
- 10.1093/imrn/rns108
- ISSN
- 1073-7928
- eISSN
- 1687-0247
- Publisher
- OXFORD UNIV PRESS
- Number of pages
- 24
- Grant note
- Max Planck Institute for Mathematics in Bonn DMS-1007342 / NSF
- Language
- English
- Date published
- 01/01/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9984240773102771
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