{ "id": "1511.00295", "version": "v1", "published": "2015-11-01T19:14:26.000Z", "updated": "2015-11-01T19:14:26.000Z", "title": "Categorification of Dijkgraaf-Witten Theory", "authors": [ "Amit Sharma", "Alexander A. Voronov" ], "comment": "27 pages", "categories": [ "math.AT", "math.CT", "math.QA" ], "abstract": "The goal of the paper is to categorify Dijkgraaf-Witten theory, aiming at providing foundation for a direct construction of Dijkgraaf-Witten theory as an Extended Topological Quantum Field Theory. The main tool is cohomology with coefficients in a Picard groupoid, namely the Picard groupoid of hermitian lines.", "revisions": [ { "version": "v1", "updated": "2015-11-01T19:14:26.000Z" } ], "analyses": { "subjects": [ "81T45", "81T13", "57R56" ], "keywords": [ "categorification", "picard groupoid", "extended topological quantum field theory", "categorify dijkgraaf-witten theory", "direct construction" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1402443 } } }