A strictification theorem makes Lagrangian distributions on -2-shifted symplectic derived schemes strict, and gluing gives a global distribution under Hausdorff and second countability assumptions.
Orientability for gauge theories on Calabi–Yau mani- folds
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Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms
A strictification theorem makes Lagrangian distributions on -2-shifted symplectic derived schemes strict, and gluing gives a global distribution under Hausdorff and second countability assumptions.