A Picard–Brauer Object for Derived Smooth Manifolds
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More information: STRATIFYING KIEL: Stratified Spaces from Higher Category Theory to Applied Topology
We construct a Picard–Brauer object for derived smooth manifolds in the sense of Spivak. After spectralizing the smooth structure sheaf, we prove open hyperdescent for the associated module categories and compute the resulting hypersheaf of invertible modules. For ordinary smooth manifolds, the construction recovers the expected real and complex cohomological invariants. A preliminary version is available at arXiv:2607.22668
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