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Formality theorem for gerbes |
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| Authors: | Paul Bressler Alexander Gorokhovsky Ryszard Nest Boris Tsygan |
| Affiliation: | 1. Universidad de los Andes, Bogotá, Colombia;2. Department of Mathematics, UCB 395, University of Colorado, Boulder, CO 80309-0395, USA;3. Department of Mathematics, Copenhagen University, Universitetsparken 5, 2100 Copenhagen, Denmark;4. Department of Mathematics, Northwestern University, Evanston, IL 60208-2730, USA |
| Abstract: | The main result of the present paper is an analogue of Kontsevich formality theorem in the context of the deformation theory of gerbes. We construct an L∞ deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe. |
| Keywords: | Deformation quantization Gerbes Formality theorem |
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