Derived coisotropic structures II: stacks and quantization

Valerio Melani, Pavel Safronov

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)3119–3173
Number of pages45
JournalSelecta Mathematica (New Series)
Early online date9 Mar 2018
Publication statusPublished - 30 Sep 2018


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