Equivariant gerbes over compact simple Lie groups.

DOI10.1016/S1631-073X(02)00024-9zbMath1068.58010arXivmath/0306183WikidataQ115337248 ScholiaQ115337248MaRDI QIDQ1871477

Ping Xu, Bin Zhang, Kai A. Behrend

Publication date: 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306183

zbMATH Keywords

stacksLie groupoidscharacteristic classesPoisson manifoldsgerbes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Momentum maps; symplectic reduction (53D20) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (10)

Integration of twisted Dirac brackets ⋮ Groupoid equivariant prequantization ⋮ Picard group of isotropic realizations of twisted Poisson manifolds ⋮ Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds ⋮ A classification of equivariant gerbe connections ⋮ The basic bundle gerbe on unitary groups ⋮ Basic gerbe over non-simply connected compact groups ⋮ Basic equivariant gerbes on non-simply connected compact simple Lie groups ⋮ Non-abelian differentiable gerbes ⋮ Abelian and non-abelian branes in WZW models and gerbes

Cites Work

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• Differentiable stacks and gerbes
• Lie group valued moment maps
• Group systems, groupoids, and moduli spaces of parabolic bundles
• \(S^1\)-bundles and gerbes over differentiable stacks.
• The basic gerbe over a compact simple Lie group

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