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Pré-Publication, Document De Travail Année : 2024

Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone

Résumé

This article generalizes the theory of shifted symplectic structures to the relative context and non-geometric stacks. We describe basic constructions that naturally appear in this theory: shifted cotangent bundles and the AKSZ procedure. Along the way, we also develop the theory of shifted symplectic groupoids presenting shifted symplectic structures on quotients and define a deformation to the normal cone for shifted Lagrangian morphisms.

Dates et versions

hal-04646250 , version 1 (12-07-2024)

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Damien Calaque, Pavel Safronov. Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone. 2024. ⟨hal-04646250⟩
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