{ "id": "1101.2918", "version": "v2", "published": "2011-01-14T22:12:47.000Z", "updated": "2011-06-28T20:12:25.000Z", "title": "Cohomology with coefficients in stacks of Picard categories", "authors": [ "Mamuka Jibladze", "Teimuraz Pirashvili" ], "categories": [ "math.AT", "math.AG" ], "abstract": "Cohomology of a topological space with coefficients in stacks of abelian 2-groups is considered. A 2-categorical analog of the theorem of Grothendieck is proved, relating cohomology of the space with coefficients in a 2-stage spectrum and the Ext groups of appropriate stacks.", "revisions": [ { "version": "v2", "updated": "2011-06-28T20:12:25.000Z" } ], "analyses": { "subjects": [ "55U99", "55N30", "18G15", "18G60", "14F05" ], "keywords": [ "picard categories", "coefficients", "ext groups", "appropriate stacks" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }