{ "id": "math/9907163", "version": "v1", "published": "1999-07-24T14:56:47.000Z", "updated": "1999-07-24T14:56:47.000Z", "title": "Configuration spaces of points on the circle and hyperbolic Dehn fillings, II", "authors": [ "Yasushi Yamashita", "Haruko Nishi", "Sadayoshi Kojima" ], "comment": "14 pages, 14 figures", "journal": "Geometriae Dedicata 89 (2002) 143-157", "doi": "10.1023/A:1014220417320", "categories": [ "math.GT" ], "abstract": "In our previous paper, we discussed the hyperbolization of the configuration space of n(> 4) marked points with weights in the projective line up to projective transformations. A variation of the weights induces a deformation. It was shown that this correspondence of the set of the weights to the Teichm\\\"uller space when n = 5 and to the Dehn filling space when n= 6 is locally one-to-one near the equal weight. In this paper, we establish its global injectivity.", "revisions": [ { "version": "v1", "updated": "1999-07-24T14:56:47.000Z" } ], "analyses": { "subjects": [ "57M50", "53C15" ], "keywords": [ "hyperbolic dehn fillings", "configuration space", "equal weight", "weights induces", "dehn filling space" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......7163Y" } } }