{
  "id": "1901.02570",
  "version": "v1",
  "published": "2019-01-09T01:13:18.000Z",
  "updated": "2019-01-09T01:13:18.000Z",
  "title": "A Splitting Formula in Instanton Floer Homology",
  "authors": [
    "Nima Anvari"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "In a recent paper, Lin, Ruberman and Saveliev proved a splitting formula expressing the Seiberg-Witten invariant $\\lambda_{SW}(X)$ of a smooth $4$-manifold with rational homology of $S^1\\times S^3$ in terms of the Fr{\\o}yshov invariant $h(X)$ and a Lefschetz number in reduced monopole Floer homology. In this note we observe that a similar splitting formula holds in reduced instanton Floer homology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-09T01:13:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R57",
      "57R58",
      "57M27"
    ],
    "keywords": [
      "similar splitting formula holds",
      "reduced monopole floer homology",
      "reduced instanton floer homology",
      "seiberg-witten invariant",
      "rational homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}