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arXiv · 1704.03201

Derived coisotropic structures II: stacks and quantization

Valerio Melani·Pavel Safronov
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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 $n>1$.

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Valerio Melani, Pavel Safronov. 2017-04-11. Derived coisotropic structures II: stacks and quantization. https://doi.org/10.1007/s00029-018-0407-1

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