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Shifted cotangent stacks are shifted symplectic
Journal article   Open access

Shifted cotangent stacks are shifted symplectic

Damien Calaque
Annales de la Faculté des Sciences de Toulouse. Mathématiques, Vol.28(1), pp.67-90
03/2019

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.
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