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Shifted cotangent stacks are shifted symplectic
Damien Calaque1
1 IMAG, Univ Montpellier, CNRS, Institut Universitaire de France, Montpellier, France
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 28 (2019) no. 1, pp. 67-90.

On démontre que les champs cotangents décalés sont canoniquement munis d’une structure symplectique décalée. On démontre également que les champs conormaux décalés sont munis d’une structure Lagrangienne canonique. Ces résultats étaient attendus mais aucune démonstration n’était disponible dans le cas des champs d’Artin.

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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Accepté le :
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DOI : 10.5802/afst.1593
Damien Calaque 1

1 IMAG, Univ Montpellier, CNRS, Institut Universitaire de France, Montpellier, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Shifted cotangent stacks are shifted symplectic},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {67--90},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 28},
     number = {1},
     year = {2019},
     doi = {10.5802/afst.1593},
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Damien Calaque. Shifted cotangent stacks are shifted symplectic. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 28 (2019) no. 1, pp. 67-90. doi : 10.5802/afst.1593. https://afst.centre-mersenne.org/articles/10.5802/afst.1593/

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