{ "id": "1111.4338", "version": "v1", "published": "2011-11-18T11:28:05.000Z", "updated": "2011-11-18T11:28:05.000Z", "title": "Local coordinates for SL(n,C) character varieties of finite volume hyperbolic 3-manifolds", "authors": [ "Pere Menal-Ferrer", "Joan Porti" ], "comment": "13 pages", "categories": [ "math.GT" ], "abstract": "Given a finite volume hyperbolic 3-manifold, we compose a lift of the holonomy in SL(2,C) with the n-dimensional irreducible representation of SL(2,C) in SL(n,C). In this paper we give local coordinates of the SL(n,C)-character variety around this representation. As a corollary, this representation is isolated among all representations that are unipotent at the cusps.", "revisions": [ { "version": "v1", "updated": "2011-11-18T11:28:05.000Z" } ], "analyses": { "subjects": [ "20C99", "57M50" ], "keywords": [ "finite volume hyperbolic", "local coordinates", "character varieties", "n-dimensional irreducible representation" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.4338M" } } }