Shifted cotangent stacks are shifted symplectic

Damien Calaque (1, 2)

1 IMAG - Institut Montpelliérain Alexander Grothendieck
2 IUF - Institut universitaire de France

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.

Domaines: Géométrie algébrique [math.AG]; Topologie algébrique [math.AT]; Géométrie symplectique [math.SG]

Damien Calaque. Shifted cotangent stacks are shifted symplectic. Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2019, 28 (1), pp.67-90. ⟨10.5802/afst.1593⟩. ⟨hal-01423565⟩