{ "id": "1104.4492", "version": "v3", "published": "2011-04-22T19:44:32.000Z", "updated": "2014-04-28T19:37:47.000Z", "title": "Non-faithful representations of surface groups into SL(2,C) which kill no simple closed curve", "authors": [ "Daryl Cooper", "Jason Fox Manning" ], "comment": "23 pages, 3 figures. Version 3 incorporates additional referee comments, especially improving the appendix", "categories": [ "math.GT", "math.GR" ], "abstract": "We give counterexamples to a version of the simple loop conjecture in which the target group is PSL(2,C). These examples answer a question of Minsky in the negative.", "revisions": [ { "version": "v3", "updated": "2014-04-28T19:37:47.000Z" } ], "analyses": { "keywords": [ "simple closed curve", "surface groups", "non-faithful representations", "simple loop conjecture", "target group" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1104.4492C" } } }