{ "id": "math/0312329", "version": "v1", "published": "2003-12-17T10:14:58.000Z", "updated": "2003-12-17T10:14:58.000Z", "title": "Non-orientable 3-manifolds of complexity up to 7", "authors": [ "Gennaro Amendola", "Bruno Martelli" ], "comment": "20 pages, 10 figures, 2 tables", "journal": "Topology Appl. 150 (2005), 179-195", "categories": [ "math.GT" ], "abstract": "We classify all closed non-orientable P2-irreducible 3-manifolds with complexity up to 7, fixing two mistakes in our previous complexity-up-to-6 classification. We show that there is no such manifold with complexity less than 6, five with complexity 6 (the four flat ones and the filling of the Gieseking manifold, which is of type Sol, and three with complexity 7 (one manifold of type Sol, and the two manifolds of type H2xR with smallest base orbifolds).", "revisions": [ { "version": "v1", "updated": "2003-12-17T10:14:58.000Z" } ], "analyses": { "subjects": [ "57M27", "57M20", "57M50" ], "keywords": [ "complexity", "type sol", "non-orientable", "smallest base orbifolds" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....12329A" } } }