{
  "id": "0712.3691",
  "version": "v3",
  "published": "2007-12-21T13:30:16.000Z",
  "updated": "2008-08-05T11:38:56.000Z",
  "title": "Curvature of classifying spaces for Brieskorn lattices",
  "authors": [
    "Claus Hertling",
    "Christian Sevenheck"
  ],
  "comment": "25 pages",
  "doi": "10.1016/j.geomphys.2008.07.008",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We study tt*-geometry on the classifying space for regular singular TERP-structures, e.g., Fourier-Laplace transformations of Brieskorn lattices of isolated hypersurface singularities. We show that (a part of) this classifying space can be canonically equipped with a hermitian structure. We derive an estimate for the holomorphic sectional curvature of this hermitian metric, which is the analogue of a similar result for classifying spaces of pure polarized Hodge structures.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-05T11:38:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D07",
      "32S30",
      "32S40",
      "53C07",
      "32G20"
    ],
    "keywords": [
      "classifying space",
      "brieskorn lattices",
      "pure polarized hodge structures",
      "regular singular terp-structures",
      "holomorphic sectional curvature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Geometry and Physics",
      "year": 2008,
      "month": "Nov",
      "volume": 58,
      "number": 11,
      "pages": 1591
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JGP....58.1591H"
    }
  }
}