{
  "id": "1907.13000",
  "version": "v1",
  "published": "2019-07-30T15:08:10.000Z",
  "updated": "2019-07-30T15:08:10.000Z",
  "title": "Tau functions, Hodge classes and discriminant loci on moduli spaces of Hitchin's spectral covers",
  "authors": [
    "Dmitry Korotkin",
    "Peter Zograf"
  ],
  "comment": "Dedicated to the memory of L.D.Faddeev, ed. by A.Its and N.Reshetikhin",
  "journal": "Journal of Mathematical Physics, vol. 59, 0914121 (2018)",
  "doi": "10.1063/1.5038650",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We define two tau functions, $\\tau$ and $\\hat{\\tau}$ , on moduli spaces of spectral covers of $GL(n)$ Hitchin's systems. Analyzing the properties of $\\tau$, we express the divisor class of the universal Hitchin's discriminant in terms of standard generators of the rational Picard group of the moduli spaces of spectral covers with variable base. The function $\\hat{\\tau}$ is used to compute the divisor of canonical 1-forms with multiple zeros.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-30T15:08:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli spaces",
      "hitchins spectral covers",
      "tau functions",
      "discriminant loci",
      "hodge classes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}