{ "id": "math/0504321", "version": "v1", "published": "2005-04-15T13:26:10.000Z", "updated": "2005-04-15T13:26:10.000Z", "title": "Formality of the complements of subspace arrangements with geometric lattices", "authors": [ "Eva Maria Feichtner", "Sergey Yuzvinsky" ], "comment": "10 pages, 1 figure", "categories": [ "math.AT", "math.CO" ], "abstract": "We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan rational model for such an arrangement complement is formal as a differential graded algebra.", "revisions": [ { "version": "v1", "updated": "2005-04-15T13:26:10.000Z" } ], "analyses": { "subjects": [ "52C35", "05E25", "55P62" ], "keywords": [ "geometric lattices", "subspace arrangements", "morgan rational model", "geometric intersection lattice", "complex vector space" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......4321F" } } }