{
  "id": "math/0009066",
  "version": "v2",
  "published": "2000-09-06T21:04:12.000Z",
  "updated": "2000-11-22T00:56:58.000Z",
  "title": "Gravitational Descendants and the Moduli Space of Higher Spin Curves",
  "authors": [
    "Tyler J. Jarvis",
    "Takashi Kimura",
    "Arkady Vaintrob"
  ],
  "comment": "12 pages, minor changes",
  "categories": [
    "math.AG",
    "math.DG",
    "math.QA"
  ],
  "abstract": "The purpose of this note is introduce a new axiom (called the Descent Axiom) in the theory of $r$-spin cohomological field theories. This axiom explains the origin of gravitational descendants in this theory. Furthermore, the Descent Axiom immediately implies the Vanishing Axiom, explicating the latter (which has no a priori analog in the theory of Gromov-Witten invariants), in terms of the multiplicativity of the virtual class. We prove that the Descent Axiom holds in the convex case, and consequently in genus zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-11-22T00:56:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "53D45",
      "14H10"
    ],
    "keywords": [
      "higher spin curves",
      "gravitational descendants",
      "moduli space",
      "spin cohomological field theories",
      "descent axiom immediately implies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 533608,
      "adsabs": "2000math......9066J"
    }
  }
}