{ "id": "1904.07927", "version": "v1", "published": "2019-04-16T19:01:04.000Z", "updated": "2019-04-16T19:01:04.000Z", "title": "A Note on the Orderability of Dehn Fillings of the Manifold $v2503$", "authors": [ "Konstantinos Varvarezos" ], "comment": "7 pages", "categories": [ "math.GT" ], "abstract": "We show that Dehn filling on the manifold $v2503$ results in a non-orderable space for all rational slopes in the interval $(-\\infty , -1)$. This is consistent with the L-space conjecture, which predicts that all fillings will result in a non-orderable space for this manifold.", "revisions": [ { "version": "v1", "updated": "2019-04-16T19:01:04.000Z" } ], "analyses": { "keywords": [ "dehn filling", "orderability", "non-orderable space", "l-space conjecture" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }