Equivariant gerbes over compact simple Lie groups;Gerbes equivariantes sur les groupes de Lie simples compacts

Comptes Rendus Mathematique

Volumn 336, Issue 3, 2003, Pages 251-256

  Behrend, Kai ^a   Xu, Ping ^b   Zhang, Bin ^c  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038729433     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)00024-9     Document Type: Article

References (10)

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2. 1-bundles and gerbes over differential stacks, C. R. Acad. Sci. Paris Sér. I 336 (2003).
3. K. Behrend, P. Xu, Differential stacks and gerbes, in preparation.
4. J.-L. Brylinski, Gerbes on complex reductive Lie groups, math.DG/0002158.
5. J. Huebschmann, K. Guruprasad, L. Jeffrey, A. Weinstein, Group systems, groupoids, and moduli spaces of parabolic bundles, Duke Math. J. 89 (1997) 377-412.
6. E. Meinrenken, The basic gerbe over a compact simple Lie group, math.DG/0209194.
7. A. Pressley, G. Segal, Loop Groups, Oxford University Press, New York, 1986.
8. A. Weinstein, The symplectic structure on moduli space, in: The Floer Memorial Volume, in: Progr. Math., Vol. 133, 1995, pp. 627-635.
9. A. Weinstein, P. Xu, Extensions of symplectic groupoids and quantization, J. Reine Angew. Math. 417 (1991) 159-189.
10. P. Xu, Morita equivalent symplectic groupoids, in: P. Dazord, A. Weinstein (Eds.), Symplectic Geometry, Groupoids, and Integrable Systems, Seminaire sud Rhodanien a Berkeley, 1989, 1991, pp. 291-311.