We define (iterated) coisotropic correspondences between derived Poisson stacks, and construct symmetric monoidal higher categories of derived Poisson stacks, where the $i$ -morphisms are given by $i$ -fold coisotropic correspondences. Assuming an expected equivalence of different models of higher Morita categories, we prove that all derived Poisson stacks are fully dualizable and so determine framed extended TQFTs by the Cobordism Hypothesis. Along the way, we also prove that the higher Morita category of $E_{n}$ -algebras with respect to coproducts is equivalent to the higher category of iterated cospans.

中文翻译：

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移位的各向同性对应

我们定义派生泊松堆栈之间的（迭代）各向同性对应，并构造派生泊松堆栈的对称单曲面更高类别，其中 $i$ -态射由下式给出 $i$ -折叠各向同性对应。假设较高 Morita 类别的不同模型的预期等价性，我们证明所有派生的 Poisson 堆栈都是完全可对偶的，因此通过 Cobordism 假设确定框架扩展 TQFT。一路上，我们还证明了更高的森田范畴 $E_{n}$ -关于联积的代数等价于迭代 cospan 的更高类别。