Quantization of line bundles on lagrangian subvarieties

• Vladimir Baranovsky ^[4] ; Victor Ginzburg ^[1] ; Dmitry Kaledin ^[2] ; Jeremy Pecharich ^[3]
  1. [1] University of Chicago

     University of Chicago

     City of Chicago, Estados Unidos

     
  2. [2] Steklov Mathematical Institute

     Steklov Mathematical Institute

     Rusia

     
  3. [3] Pomona College

     Pomona College

     Estados Unidos

     
  4. [4] University of California at Irvine

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 1, 2016, págs. 1-25
• Idioma: inglés
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• Resumen

  • We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety.