{
  "id": "1711.02953",
  "version": "v1",
  "published": "2017-11-08T14:16:13.000Z",
  "updated": "2017-11-08T14:16:13.000Z",
  "title": "Classification of pro-$p$ PD$^2$ pairs and the pro-$p$ curve complex",
  "authors": [
    "Gareth Wilkes"
  ],
  "comment": "24 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We classify pro-$p$ Poincar\\'e duality pairs in dimension two. We then use this classification to build a pro-$p$ analogue of the curve complex and establish its basic properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-08T14:16:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20J06",
      "22C05"
    ],
    "keywords": [
      "curve complex",
      "classification",
      "poincare duality pairs",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}