On the Lie 2-algebra of sections of an \(\mathcal{LA}\)-groupoid
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Publication:2331495
DOI10.1016/j.geomphys.2019.07.005zbMath1469.58012arXiv1703.09791OpenAlexW2963881603WikidataQ115352809 ScholiaQ115352809MaRDI QIDQ2331495
Publication date: 29 October 2019
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09791
Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Lie algebras and Lie superalgebras (17B99)
Related Items (7)
Multiplicative connections and their Lie theory ⋮ A new cohomology theory for strict Lie 2-algebras ⋮ Isometric Lie 2-group actions on Riemannian groupoids ⋮ Affine structures on Lie groupoids ⋮ Lie 2-algebras of vector fields ⋮ Orbispaces as differentiable stratified spaces ⋮ On the prequantisation map for 2-plectic manifolds
Cites Work
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- Lie groupoids and their orbispaces
- Multiplicative Dirac structures
- Van Est isomorphism for homogeneous cochains
- Differentiable stacks and gerbes
- Vector bundles over Lie groupoids and algebroids
- Algebraic constructions in the category of Lie algebroids
- Coisotropic calculus and Poisson groupoids
- Double Lie algebroids and second-order geometry. I
- Lie bialgebroids and Poisson groupoids
- Double Lie algebroids and second-order geometry. II
- \(\mathcal{VB}\)-groupoids and representation theory of Lie groupoids
- Deformation quantization of Poisson manifolds
- Representations up to homotopy and Bott's spectral sequence for Lie groupoids
- Geometric T-Dualization
- Vector Fields and Flows on Differentiable Stacks
- Classical lifting processes and multiplicative vector fields
- Integrating morphisms of Lie 2-algebras
- Morita Equivalences of Vector Bundles
- La formule de dualite globale
- Foliation groupoids and their cyclic homology
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