{
  "id": "1508.07650",
  "version": "v1",
  "published": "2015-08-31T00:11:31.000Z",
  "updated": "2015-08-31T00:11:31.000Z",
  "title": "Abelian Gauge Theory, Knots and Odd Khovanov Homology",
  "authors": [
    "Aliakbar Daemi"
  ],
  "comment": "78 pages",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "A homological invariant of 3-manifolds is defined, using abelian Yang-Mills gauge theory. It is shown that the construction, in an appropriate sense, is functorial with respect to the families of 4-dimensional cobordisms. This construction and its functoriality are used to define several link invariants. The strongest version of these invariants has the form of a filtered chain complex that can recover Khovanov homology of the mirror image as a bi-graded group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-31T00:11:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "53C07"
    ],
    "keywords": [
      "odd khovanov homology",
      "abelian gauge theory",
      "abelian yang-mills gauge theory",
      "appropriate sense",
      "construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 78,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807650D",
      "inspire": 1391381
    }
  }
}