{
  "id": "2505.04111",
  "version": "v1",
  "published": "2025-05-07T04:03:33.000Z",
  "updated": "2025-05-07T04:03:33.000Z",
  "title": "Measured foliations at infinity of quasi-Fuchsian manifolds",
  "authors": [
    "Diptaishik Choudhury Vladimir Marković"
  ],
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Let $(\\lambda^+(M),\\lambda^-(M))$ denote the pair of measured foliations at the boundary at infinity $\\partial_\\infty$ of a quasi-Fuchsian manifold $M$. We prove that $(\\lambda^+(M),\\lambda^-(M))$ is filling if $M$ is close to being Fuchsian. We also show that given any filling pair $(\\alpha_1,\\alpha_2)$ of measured foliations, and every small enough $t>0$, the pair $(t\\alpha_1,t\\alpha_2)$ is realised as the pair of measured foliations at infinity of some quasi-Fuchsian manifold $M$. This answers questions of Schlenker near the Fuchsian locus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-07T04:03:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "measured foliations",
      "quasi-fuchsian manifold",
      "answers questions",
      "fuchsian locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}