Shifted cotangent stacks are shifted symplectic
classification
🧮 math.AG
math.ATmath.SG
keywords
shiftedstackscanonicalcarrycotangentprovestructuresymplectic
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We prove that shifted cotangent stacks carry a canonical shifted symplectic structure. We also prove that shifted conormal stacks carry a canonical Lagrangian structure. These results were believed to be true but no written proof was available in the Artin case.
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Cited by 1 Pith paper
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Semiorthogonal decompositions for stacks
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
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