{
  "id": "2404.14698",
  "version": "v1",
  "published": "2024-04-23T02:56:46.000Z",
  "updated": "2024-04-23T02:56:46.000Z",
  "title": "Tight contact structures on hyperbolic homology 3-spheres",
  "authors": [
    "Mahan Mj",
    "Balarka Sen"
  ],
  "comment": "28 pages, 3 figures",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We produce a large class of hyperbolic homology $3$-spheres admitting arbitrarily many distinct tight contact structures. We also produce a sub-class admitting arbitrarily many distinct tight contact structures within the same homotopy class of oriented plane distributions. We also introduce a notion of geometric limits of contact structures compatible with geometric limits of hyperbolic manifolds. We study the behavior of the tight contact structures we construct under geometric limits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-23T02:56:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R17",
      "57M50"
    ],
    "keywords": [
      "hyperbolic homology",
      "distinct tight contact structures",
      "geometric limits",
      "large class",
      "oriented plane distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}