{
  "id": "1706.01189",
  "version": "v1",
  "published": "2017-06-05T04:36:28.000Z",
  "updated": "2017-06-05T04:36:28.000Z",
  "title": "Cocycles of nilpotent quotients of free groups",
  "authors": [
    "Takefumi Nosaka"
  ],
  "comment": "15 pages. Any comment is welcome",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We focus on the cohomology of the $k$-th nilpotent quotient of the free group, $F/F_k$. This paper describes all the group 2-, 3-cocycles in terms of Massey products, and gives expressions for some of the 3-cocycles. We also give simple proofs of some of the results on Milnor invariants and the Johnson-Morita homomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-05T04:36:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free group",
      "th nilpotent quotient",
      "massey products",
      "simple proofs",
      "milnor invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}