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arXiv · 2407.08622

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

Damien Calaque·Pavel Safronov
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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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Damien Calaque, Pavel Safronov. 2024-07-11. Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone. https://arxiv.org/abs/2407.08622

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