{
  "id": "2012.07189",
  "version": "v2",
  "published": "2020-12-14T00:23:40.000Z",
  "updated": "2023-08-29T19:58:58.000Z",
  "title": "Almost $ι$-complexes as immersed curves",
  "authors": [
    "Daniel Rostovtsev"
  ],
  "comment": "35 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Here the existence of a new homomorphism $P_{\\omega} : \\Theta_{\\mathbb{Z}}^3 \\to \\mathbb{Z}$ is proven and the existence of a $\\mathbb{Z}^{\\infty}$ summand in $\\Theta_{\\mathbb{Z}}^3$ is reproven. This is done by approximating the involutive Heegaard Floer complexes of homology 3-spheres with immersed curves on the twice punctured disk.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-08-29T19:58:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57M27"
    ],
    "keywords": [
      "immersed curves",
      "involutive heegaard floer complexes",
      "twice punctured disk",
      "homomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}