Shifted Coisotropic Correspondences

Rune Haugseng, Valerio Melani, Pavel Safronov

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 En-algebras with respect to coproducts is equivalent to the higher category of iterated cospans.
Original languageEnglish
Number of pages50
JournalJournal of the Institute of Mathematics of Jussieu
Early online date3 Jul 2020
DOIs
Publication statusE-pub ahead of print - 3 Jul 2020

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