{
  "id": "2009.06581",
  "version": "v1",
  "published": "2020-09-14T17:13:04.000Z",
  "updated": "2020-09-14T17:13:04.000Z",
  "title": "Twisted $L^2$-torsion on the character variety",
  "authors": [
    "Léo Bénard",
    "Jean Raimbault"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We define a twisted $L^2$-torsion on the character variety of 3-manifold $M$ and study some of its properties. In the case where $M$ is hyperbolic of finite volume, we prove that the $L^2$-torsion is a real analytic function on a neighborhood of any lift of the holonomy representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-14T17:13:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "character variety",
      "real analytic function",
      "finite volume",
      "holonomy representation",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}