{
  "id": "1401.7236",
  "version": "v2",
  "published": "2014-01-28T15:50:37.000Z",
  "updated": "2014-10-24T12:35:53.000Z",
  "title": "Anti-holomorphic involutions of the moduli spaces of Higgs bundles",
  "authors": [
    "Indranil Biswas",
    "Oscar Garc'\\ia-Prada"
  ],
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We study anti-holomorphic involutions of the moduli space of principal $G$-Higgs bundles over a compact Riemann surface $X$, where $G$ is a complex semisimple Lie group. These involutions are defined by fixing anti-holomorphic involutions on both $X$ and $G$. We analyze the fixed point locus in the moduli space and their relation with representations of the orbifold fundamental group of $X$ equipped with the anti-holomorphic involution. We also study the relation with branes. This generalizes work by Biswas--Garc\\'{\\i}a-Prada--Hurtubise and Baraglia--Schaposnik.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-28T15:50:37.000Z",
      "title": "Anti-holomorphic involutions of the moduli spaces of Higgs bundles and branes",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-24T12:35:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "57R57",
      "58D29"
    ],
    "keywords": [
      "moduli space",
      "higgs bundles",
      "complex semisimple lie group",
      "orbifold fundamental group",
      "study anti-holomorphic involutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}