{
  "id": "1507.04315",
  "version": "v1",
  "published": "2015-07-15T18:22:47.000Z",
  "updated": "2015-07-15T18:22:47.000Z",
  "title": "Quantization of spectral curves and DQ-modules",
  "authors": [
    "Francois Petit"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "Given an holomorphic Higgs bundle on a compact Riemann surface of genus greater than one, we construct a DQ-module supported by the spectral curve associated to this bundle. Then, we relate quantum curves arising in various situations (quantization of spectral curves of Higgs Bundles, quantization of the $A$-polynomial...) and DQ-modules and show that DQ-modules provide a suitable framework to study the quantization of spectral curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-15T18:22:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral curve",
      "quantization",
      "holomorphic higgs bundle",
      "compact riemann surface",
      "relate quantum curves arising"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150704315P",
      "inspire": 1382992
    }
  }
}