Derived coisotropic structures II: stacks and quantization
Derived coisotropic structures II: stacks and quantization
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DOI：
10.1007/s00029-018-0407-1
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发表时间：
2017-04
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影响因子：
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通讯作者：
Valerio Melani;P. Safronov
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文献类型：
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作者：
Valerio Melani;P. Safronov
我们扩展的结果约n-移位共各向同性结构从第一部分的这项工作的设置派生Artin堆栈。我们证明了余各向同性态射的交具有少移一的Poisson结构，并比较了非退化的移位余各向同性结构和移位Lagrange结构，证明了这两个空间之间的自然等价性，与经典结果一致.最后，我们定义了n-移位共各向同性结构的量子化，并证明了它们的存在性。
We extend results aboutn-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 ofn-shifted coisotropic structures and show that they exist for.