{
  "id": "1604.04535",
  "version": "v1",
  "published": "2016-04-15T15:15:41.000Z",
  "updated": "2016-04-15T15:15:41.000Z",
  "title": "Algebraic K-theory and derived equivalences suggested by T-duality for torus orientifolds",
  "authors": [
    "Jonathan Rosenberg"
  ],
  "comment": "15 pages, based on a talk at the conference on K-theory, Cyclic Homology and Motives, Rutgers, 2015",
  "categories": [
    "math.AG",
    "hep-th",
    "math.KT"
  ],
  "abstract": "We show that certain isomorphisms of (twisted) KR-groups that underlie T-dualities of torus orientifold string theories have purely algebraic analogues in terms of algebraic K-theory of real varieties and equivalences of derived categories of (twisted) coherent sheaves. The most interesting conclusion is a kind of Mukai duality in which the \"dual abelian variety\" to a smooth projective genus-1 curve over R with no real points is (mildly) noncommutative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-15T15:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "19E08",
      "19L64",
      "81T30",
      "14F22",
      "14H60",
      "14H81"
    ],
    "keywords": [
      "algebraic k-theory",
      "derived equivalences",
      "dual abelian variety",
      "torus orientifold string theories",
      "real points"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160404535R",
      "inspire": 1448125
    }
  }
}