{
  "id": "2104.15120",
  "version": "v1",
  "published": "2021-04-30T17:12:45.000Z",
  "updated": "2021-04-30T17:12:45.000Z",
  "title": "Bordered Floer homology with integral coefficients for manifolds with torus boundary",
  "authors": [
    "Douglas Knowles",
    "Ina Petkova"
  ],
  "comment": "43 pages, 22 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We provide a combinatorial definition of a bordered Floer theory with $\\mathbb Z$ coefficients for manifolds with torus boundary. Our bordered Floer structures recover the combinatorial Heegaard Floer homology defined by Ozsv\\'ath, Stipsicz, and Szab\\'o.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-30T17:12:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57K31"
    ],
    "keywords": [
      "bordered floer homology",
      "torus boundary",
      "integral coefficients",
      "combinatorial heegaard floer homology",
      "combinatorial definition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}