{
  "id": "1912.07720",
  "version": "v1",
  "published": "2019-12-16T21:53:52.000Z",
  "updated": "2019-12-16T21:53:52.000Z",
  "title": "Boundary Expression for Chern Classes of the Hodge Bundle on Spaces of Cyclic Covers",
  "authors": [
    "Bryson Owens",
    "Seamus Somerstep"
  ],
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We compute an explicit formula for the first Chern class of the Hodge Bundle over the space of admissible cyclic $\\mathbb{Z}/3\\mathbb{Z}$ covers of $n$-pointed rational stable curves as a linear combination of boundary strata. We then apply this formula to give a recursive formula for calculating certain Hodge integrals containing $\\lambda_1$. We also consider covers with a ${\\mathbb{Z}}/{2\\mathbb{Z}}$ action for which we compute $\\lambda_2$ as a linear combination of codimension two boundary strata.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-16T21:53:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hodge bundle",
      "boundary expression",
      "cyclic covers",
      "boundary strata",
      "linear combination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}