{
  "id": "math/9802030",
  "version": "v1",
  "published": "1998-02-05T19:27:05.000Z",
  "updated": "1998-02-05T19:27:05.000Z",
  "title": "The symplectic Floer homology of composite knots",
  "authors": [
    "Weiping Li"
  ],
  "comment": "28pages, AmsLatex, also available at: http://www.math.okstate.edu/~wli/research/publication.html#recent",
  "categories": [
    "math.GT"
  ],
  "abstract": "We develop a method of calculation for the symplectic Floer homology of composite knots. The symplectic Floer homology of knots defined in \\cite{li} naturally admits an integer graded lifting, and it formulates a filtration and induced spectral sequence. Such a spectral sequence converges to the symplectic homology of knots in \\cite{li}. We show that there is another spectral sequence which converges to the $\\Z$-graded symplectic Floer homology for composite knots represented by braids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-02-05T19:27:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "58F05",
      "57M05",
      "70H05"
    ],
    "keywords": [
      "composite knots",
      "graded symplectic floer homology",
      "spectral sequence converges",
      "symplectic homology",
      "induced spectral sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......2030L"
    }
  }
}