Derived coisotropic structures II: stacks and quantization

• Valerio Melani ^[2] ; Pavel Safronov ^[1]
  1. [1] Université de Genève

     Université de Genève

     Genève, Suiza

     
  2. [2] Università di Milano, Italia
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 4, 2018, págs. 3119-3173
• Idioma: inglés
• DOI: 10.1007/s00029-018-0407-1
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• Resumen

  • We extend results about n-shifted coisotropic structures from part I of this work to the setting of derived Artin stacks. We show that an intersection of coisotropic morphisms carries a Poisson structure of shift one less. We also compare non-degenerate shifted coisotropic structures and shifted Lagrangian structures and show that there is a natural equivalence between the two spaces in agreement with the classical result. Finally, we define quantizations of n-shifted coisotropic structures and show that they exist for n > 1.