{
  "id": "0911.1418",
  "version": "v2",
  "published": "2009-11-09T19:17:32.000Z",
  "updated": "2010-09-13T18:03:33.000Z",
  "title": "Moduli spaces of hyperbolic 3-manifolds and dynamics on character varieties",
  "authors": [
    "Richard D. Canary",
    "Peter A. Storm"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The space AH(M) of marked hyperbolic 3-manifold homotopy equivalent to a compact 3-manifold with boundary M sits inside the PSL_2(C)-character variety X(M) of \\pi_1(M). We study the dynamics of the action of Out(\\pi_1(M)) on both AH(M) and X(M). The nature of the dynamics reflects the topology of M. The quotient AI(M)=AH(M)/Out(\\pi_1(M)) may naturally be thought of as the moduli space of unmarked hyperbolic 3-manifolds homotopy equivalent to M and its topology reflects the dynamics of the action.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-13T18:03:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "moduli space",
      "character varieties",
      "hyperbolic",
      "homotopy equivalent",
      "space ah"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.1418C"
    }
  }
}