Shifted cotangent stacks are shifted symplectic
Algebraic Geometry
2019-04-10 v2 Algebraic Topology
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1612.08101,
title = {Shifted cotangent stacks are shifted symplectic},
author = {Damien Calaque},
journal= {arXiv preprint arXiv:1612.08101},
year = {2019}
}
Comments
16 pages. Minor corrections. To appear in Annales de la Facult\'e des Sciences de Toulouse