Towards a Theory of Derived Azumaya Algebras on Derived Smooth Manifolds
Date:
More information: Conference on “New Perspectives on Stable Homotopy and Beyond”
We construct an 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
