{
  "id": "1408.5602",
  "version": "v1",
  "published": "2014-08-24T13:24:44.000Z",
  "updated": "2014-08-24T13:24:44.000Z",
  "title": "Holonomies and cohomology for cocycles over partially hyperbolic diffeomorphisms",
  "authors": [
    "Boris Kalinin",
    "Victoria Sadovskaya"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider group-valued cocycles over a partially hyperbolic diffeomorphism which is accessible volume-preserving and center bunched. We study cocycles with values in the group of invertible continuous linear operators on a Banach space. We describe properties of holonomies for fiber bunched cocycles and establish their Holder regularity. We also study cohomology of cocycles and its connection with holonomies. We obtain a result on regularity of a measurable conjugacy, as well as a necessary and sufficient condition for existence of a contionuous conjugacy between two cocycles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-24T13:24:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37C15",
      "37H05"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphism",
      "holonomies",
      "study cocycles",
      "sufficient condition",
      "banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1408.5602K"
    }
  }
}