Article Dans Une Revue Journal of Geometry and Physics Année : 2023

Normal forms of Z-graded Q-manifolds

Résumé

Following recent results of A.K. and V.S. on Z-graded manifolds, we give several local and global normal forms results for Q-structures on those, i.e. for differential graded manifolds. In particular, we explain in which sense their relevant structures are concentrated along the zero-locus of their curvatures, especially when the negative-part is of Koszul-Tate type. We also give a local splitting theorem.

Fichier principal
Vignette du fichier
S0393044023001602.pdf (633.16 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04308150 , version 1 (09-07-2025)

Licence

Identifiants

Citer

Alexei Kotov, Camille Laurent-Gengoux, Vladimir Salnikov. Normal forms of Z-graded Q-manifolds. Journal of Geometry and Physics, 2023, 191, pp.104908. ⟨10.1016/j.geomphys.2023.104908⟩. ⟨hal-04308150⟩
168 Consultations
87 Téléchargements

Altmetric

Partager

  • More