{
  "id": "1001.2408",
  "version": "v1",
  "published": "2010-01-14T10:46:03.000Z",
  "updated": "2010-01-14T10:46:03.000Z",
  "title": "Geometry of representation spaces in SU(2)",
  "authors": [
    "Julien Marche"
  ],
  "comment": "47 pages, 8 figures",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "These notes of a course given at IRMA in April 2009 cover some aspects of the representation theory of fundamental groups of manifolds of dimension at most 3 in compact Lie groups, mainly $\\su$. We give detailed examples, develop the techniques of twisted cohomology and gauge theory. We review Chern-Simons theory and describe an integrable system for the representation space of a surface. Finally, we explain some basic ideas on geometric quantization. We apply them to the case of representation spaces by computing Bohr-Sommerfeld orbits with metaplectic correction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-14T10:46:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M50",
      "57M56",
      "37E30"
    ],
    "keywords": [
      "representation space",
      "review chern-simons theory",
      "compact lie groups",
      "gauge theory",
      "representation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 842873,
      "adsabs": "2010arXiv1001.2408M"
    }
  }
}