{
  "id": "1802.02008",
  "version": "v1",
  "published": "2018-02-06T15:38:07.000Z",
  "updated": "2018-02-06T15:38:07.000Z",
  "title": "Applications of involutive Heegaard Floer homology",
  "authors": [
    "Kristen Hendricks",
    "Jennifer Hom",
    "Tye Lidman"
  ],
  "comment": "29 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We use Heegaard Floer homology to define an invariant of homology cobordism. This invariant is isomorphic to a summand of the reduced Heegaard Floer homology of a rational homology sphere equipped with a spin structure and is analogous to Stoffregen's connected Seiberg-Witten Floer homology. We use this invariant to study the structure of the homology cobordism group and, along the way, compute the involutive correction terms for certain families of three-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-06T15:38:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R58"
    ],
    "keywords": [
      "involutive heegaard floer homology",
      "applications",
      "stoffregens connected seiberg-witten floer homology",
      "rational homology sphere",
      "homology cobordism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}