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Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone (2407.08622v1)
Published 11 Jul 2024 in math.AG and math.SG
Abstract: 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.
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