Shifted cotangent stacks are shifted symplectic

Abstract

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.

16 pages. Minor corrections. To appear in Annales de la Faculté des Sciences de Toulouse

References in corpus (1)

• Derived coisotropic structures II: stacks and quantization

Cited by in corpus (11)

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• Gaiotto's Lagrangian subvarieties via derived symplectic geometry
• Categorical Donaldson-Thomas theory for local surfaces: $\mathbb{Z}/2$-periodic version
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• Classical BV formalism for group actions
• Weak $E_2$-Morita equivalences via quantization of the 1-shifted cotangent bundle
• Shifted Contact Structures and Their Local Theory