{
  "id": "1103.5312",
  "version": "v1",
  "published": "2011-03-28T10:02:25.000Z",
  "updated": "2011-03-28T10:02:25.000Z",
  "title": "A variant of the Mukai pairing via deformation quantization",
  "authors": [
    "Ajay C. Ramadoss"
  ],
  "comment": "8 pages. Comments and suggestions welcome",
  "doi": "10.1007/s11005-011-0541-6",
  "categories": [
    "math.AG",
    "math.KT",
    "math.QA"
  ],
  "abstract": "We give a new method to prove a formula computing a variant of Caldararu's Mukai pairing \\cite{Cal1}. Our method is based on some important results in the area of deformation quantization. In particular, part of the work of Kashiwara and Schapira in \\cite{KS} as well as an algebraic index theorem of Bressler, Nest and Tsygan in \\cite{BNT},\\cite{BNT1} and \\cite{BNT2} are used. It is hoped that our method is useful for generalization to settings involving certain singular varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-28T10:02:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19L10",
      "14C40",
      "19D55",
      "53D55"
    ],
    "keywords": [
      "deformation quantization",
      "algebraic index theorem",
      "singular varieties",
      "important results",
      "caldararus mukai pairing"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Letters in Mathematical Physics",
      "year": 2012,
      "month": "Jun",
      "volume": 100,
      "number": 3,
      "pages": 309
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012LMaPh.100..309R"
    }
  }
}