{
  "id": "1109.2168",
  "version": "v1",
  "published": "2011-09-09T22:20:27.000Z",
  "updated": "2011-09-09T22:20:27.000Z",
  "title": "Moving basepoints and the induced automorphisms of link Floer homology",
  "authors": [
    "Sucharit Sarkar"
  ],
  "comment": "27 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given an l-component pointed oriented link (L,p) in an oriented three-manifold Y, one can construct its link Floer chain complex CFL(Y,L,p) over the polynomial ring F_2[U_1,...,U_l]. Moving the basepoint p_i in the link component L_i once around induces an automorphism of CFL(Y,L,p). In this paper, we study an automorphism (a possibly different one) of CFL(Y,L,p) defined explicitly in terms of holomorphic disks; for links in S^3, we show that these two automorphisms are the same.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-09T22:20:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57R58"
    ],
    "keywords": [
      "link floer homology",
      "induced automorphisms",
      "moving basepoints",
      "link floer chain complex cfl",
      "link component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.2168S"
    }
  }
}