{
  "id": "math/9809147",
  "version": "v1",
  "published": "1998-09-25T03:06:45.000Z",
  "updated": "1998-09-25T03:06:45.000Z",
  "title": "Configuration spaces of points on the circle and hyperbolic Dehn fillings",
  "authors": [
    "Sadayoshi Kojima",
    "Haruko Nishi",
    "Yasushi Yamashita"
  ],
  "comment": "22 pages, to appear in Topology",
  "journal": "Topology, 38 (1999), 497-516.",
  "categories": [
    "math.GT"
  ],
  "abstract": "A purely combinatorial compactification of the configuration space of n (>4) distinct points with equal weights in the real projective line was introduced by M. Yoshida. We geometrize it so that it will be a real hyperbolic cone-manifold of finite volume with dimension n-3. Then, we vary weights for points. The geometrization still makes sense and yields a deformation. The effectivity of deformations arisen in this manner will be locally described in the existing deformation theory of hyperbolic structures when n-3 = 2, 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-25T03:06:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "53C15"
    ],
    "keywords": [
      "hyperbolic dehn fillings",
      "configuration space",
      "real hyperbolic cone-manifold",
      "equal weights",
      "real projective line"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9147K"
    }
  }
}