We define (iterated) coisotropic correspondences between derived Poisson stacks, and construct symmetric monoidal higher categories of derived Poisson stacks, where the-morphisms are given by-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-algebras with respect to coproducts is equivalent to the higher category of iterated cospans.

SHIFTED COISOTROPIC CORRESPONDENCES / Haugseng R.; Melani V.; Safronov P.. - In: JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. - ISSN 1474-7480. - STAMPA. - 21:(2022), pp. 785-849. [10.1017/S1474748020000274]

SHIFTED COISOTROPIC CORRESPONDENCES

Melani V.;
2022

Abstract

We define (iterated) coisotropic correspondences between derived Poisson stacks, and construct symmetric monoidal higher categories of derived Poisson stacks, where the-morphisms are given by-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-algebras with respect to coproducts is equivalent to the higher category of iterated cospans.
21
785
849
Haugseng R.; Melani V.; Safronov P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1285593
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