{
  "id": "math/0401007",
  "version": "v3",
  "published": "2004-01-02T19:05:43.000Z",
  "updated": "2009-01-16T18:32:05.000Z",
  "title": "Transferring $A_\\infty$ (strongly homotopy associative) structures",
  "authors": [
    "Martin Markl"
  ],
  "comment": "LaTeX 2.09, 14 pages. Relation to the work of Huebschmann and Kadeishvili made precise",
  "categories": [
    "math.AT"
  ],
  "abstract": "We give explicit formulas for transfers of $A_\\infty$-structures and related maps and homotopies in the most easy situation in which these transfers exist. One half of our formulas was already known to Kontsevich-Soibelman and to Merkulov who derived them, without explicit signs, under slightly stronger assumptions than those made in this note.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-16T18:32:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18D10",
      "55S99"
    ],
    "keywords": [
      "strongly homotopy associative",
      "structures",
      "transferring",
      "explicit formulas",
      "explicit signs"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1007M"
    }
  }
}