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.

Derived coisotropic structures II: stacks and quantization / Melani V.; Safronov P.. - In: SELECTA MATHEMATICA. - ISSN 1022-1824. - STAMPA. - 24:(2018), pp. 3119-3173. [10.1007/s00029-018-0407-1]

Derived coisotropic structures II: stacks and quantization

Melani V.;
2018

Abstract

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.
24
3119
3173
Melani V.; Safronov P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1285586
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