{ "id": "1306.1085", "version": "v1", "published": "2013-06-05T12:54:20.000Z", "updated": "2013-06-05T12:54:20.000Z", "title": "A new construction of 6-manifolds", "authors": [ "Ahmet Beyaz" ], "comment": "Published in 2008", "journal": "Trans. Amer. Math. Soc. 360 (2008), 4409-4424", "doi": "10.1090/S0002-9947-08-04462-0", "categories": [ "math.GT" ], "abstract": "This paper provides a topological method to construct all simply-connected, spin, smooth $6$-manifolds with torsion-free homology using simply-connected, smooth $4$-manifolds as building blocks. We explicitly determine the invariants that classify these $6$-manifolds from the intersection form and specific homology classes of the $4$-manifold building blocks.", "revisions": [ { "version": "v1", "updated": "2013-06-05T12:54:20.000Z" } ], "analyses": { "subjects": [ "57R55", "57R65" ], "keywords": [ "construction", "specific homology classes", "manifold building blocks", "intersection form", "torsion-free homology" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS", "journal": "Trans. Amer. Math. Soc." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.1085B" } } }