Infinitesimal symmetries of bundle gerbes and Courant algebroids

DOI10.1007/s10711-024-00897-0arXiv2304.05347OpenAlexW4392161313MaRDI QIDQ6190404

Dinamo Djounvouna, Derek Krepski

Publication date: 5 March 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.05347

zbMATH Keywords

Courant algebroidmultisymplecticbundle gerbeLie 2-algebraquantomorphism2-plectic

Mathematics Subject Classification ID

Global analysis, analysis on manifolds (58-XX) Differential geometry (53-XX)

Cites Work

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• Homotopy moment maps
• 2-plectic geometry, Courant algebroids, and categorified prequantization
• Semidirect products of representations up to homotopy
• Differentiable stacks and gerbes
• Brackets, forms and invariant functionals
• Courant algebroids
• Courant algebroids and strongly homotopy Lie algebras
• Multiplicative vector fields on bundle gerbes
• Lie 2-algebras of vector fields
• \(L_{\infty}\)-algebras of local observables from higher prequantum bundles
• On weak Lie 2-algebras
• Classical lifting processes and multiplicative vector fields
• Generalized Calabi-Yau Manifolds
• Integrating morphisms of Lie 2-algebras
• Bundle Gerbes

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