Formality theorem for gerbes

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Paul Bressler
Alexander Gorokhovsky
Nest, Ryszard
Boris Tsygand

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_∞L∞} deformation of the Schouten algebra of multi-vectors which controls the deformation theory of a gerbe.

Original language	English
Journal	Advances in Mathematics
Volume	273
Pages (from-to)	215-241
ISSN	0001-8708
DOIs	https://doi.org/10.1016/j.aim.2014.11.025
Publication status	Published - 2015

ID: 138725084