{ "id": "1305.1960", "version": "v1", "published": "2013-05-08T21:16:31.000Z", "updated": "2013-05-08T21:16:31.000Z", "title": "Edges, Orbifolds, and Seiberg-Witten Theory", "authors": [ "Claude LeBrun" ], "comment": "54 pages, two figures", "categories": [ "math.DG" ], "abstract": "Seiberg-Witten theory is used to obtain new obstructions to the existence of Einstein metrics on 4-manifolds with conical singularities along an embedded surface. In the present article, the cone angle is required to be of the form 2(pi)/p, where p is a positive integer, but we conjecture that similar results will also hold in greater generality.", "revisions": [ { "version": "v1", "updated": "2013-05-08T21:16:31.000Z" } ], "analyses": { "subjects": [ "53C25", "53C21", "57R18", "57R57" ], "keywords": [ "seiberg-witten theory", "einstein metrics", "cone angle", "similar results", "greater generality" ], "note": { "typesetting": "TeX", "pages": 54, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.1960L" } } }