{
  "id": "1902.03333",
  "version": "v1",
  "published": "2019-02-09T00:02:53.000Z",
  "updated": "2019-02-09T00:02:53.000Z",
  "title": "More concordance homomorphisms from knot Floer homology",
  "authors": [
    "Irving Dai",
    "Jennifer Hom",
    "Matthew Stoffregen",
    "Linh Truong"
  ],
  "comment": "50 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence classes of knot Floer complexes over the ring $\\mathbb{F}[U, V]/(UV=0)$. We compare our invariants to other concordance homomorphisms coming from knot Floer homology, and discuss applications to topologically slice knots, concordance genus, and concordance unknotting number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-09T00:02:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N70",
      "57R58"
    ],
    "keywords": [
      "knot floer homology",
      "integer-valued smooth concordance homomorphisms",
      "knot floer complexes",
      "local equivalence classes",
      "concordance unknotting number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}