{
  "id": "0804.1350",
  "version": "v1",
  "published": "2008-04-08T23:42:46.000Z",
  "updated": "2008-04-08T23:42:46.000Z",
  "title": "Splitting the spectral flow and the SU(3) Casson invariant for spliced sums",
  "authors": [
    "Hans U. Boden",
    "Benjamin Himpel"
  ],
  "comment": "27 pages, 5 figures",
  "journal": "Alg. Geom. Top. 9 (2009) 865-902",
  "doi": "10.2140/agt.2009.9.865",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the SU(3) Casson invariant for spliced sums along certain torus knots equals 16 times the product of their SU(2) Casson knot invariants. The key step is a splitting formula for su(n) spectral flow for closed 3-manifolds split along a torus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-08T23:42:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J30",
      "57M27",
      "57R57"
    ],
    "keywords": [
      "casson invariant",
      "spectral flow",
      "spliced sums",
      "torus knots equals",
      "casson knot invariants"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.1350B"
    }
  }
}