{ "id": "0804.2073", "version": "v1", "published": "2008-04-13T16:38:37.000Z", "updated": "2008-04-13T16:38:37.000Z", "title": "Examples of relative deformation spaces that are not locally connected", "authors": [ "Aaron Magid" ], "categories": [ "math.GT" ], "abstract": "We provide an infinite family of pared manifolds whose relative deformation spaces of hyperbolic structures on these manifolds are not locally connected. This is a natural extension of the recent result of Bromberg that shows the space of Kleinian punctured torus groups is not locally connected.", "revisions": [ { "version": "v1", "updated": "2008-04-13T16:38:37.000Z" } ], "analyses": { "keywords": [ "relative deformation spaces", "kleinian punctured torus groups", "natural extension", "hyperbolic structures" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0804.2073M" } } }