{
  "id": "1111.6303",
  "version": "v1",
  "published": "2011-11-27T21:45:38.000Z",
  "updated": "2011-11-27T21:45:38.000Z",
  "title": "The A-infinity algebra of an Elliptic Curve and the j-invariant",
  "authors": [
    "Robert Fisette"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We compute reduced Hochschild cohomology of B = Ext\\star (O \\oplus L, O \\oplus L), where O is the structure sheaf of an elliptic curve and L is a line bundle of degree 1. The result suggests an A-infinity equivalence between the A-infinity structure computed for B in [1] and a structure in which m_3=m_4=m_5=0. We see that the j-invariant of the curve is explicitly related to this new structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-27T21:45:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic curve",
      "a-infinity algebra",
      "j-invariant",
      "reduced hochschild cohomology",
      "line bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6303F"
    }
  }
}