SHIFTED COISOTROPIC CORRESPONDENCES
SHIFTED COISOTROPIC CORRESPONDENCES
复制标题
平移的各向同性对应关系
DOI：
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发表时间：
2019
影响因子：
0.9
通讯作者：
P. Safronov
中科院分区：
文献类型：
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作者：
R. Haugseng;Valerio Melani;P. Safronov
本文定义了导出Poisson栈之间的（迭代）共迷向对应，并构造了导出Poisson栈的对称monoidal高范畴，其中i$ -态射由i$ -fold共迷向对应给出.假设一个预期等价的不同模型的更高的森田类别，我们证明了所有派生的泊松栈是完全可对偶的，因此确定框架扩展TQFT的协证假说。沿着这一思路，我们还证明了$E_{n}$ -代数关于余积的高阶Morita范畴等价于迭代余跨距的高阶范畴。
Abstract 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.