Formality theorem for gerbes
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan

TL;DR
This paper extends Kontsevich's formality theorem from deformations of the structure sheaf to deformations of gerbes on smooth and complex manifolds, broadening the scope of deformation theory in geometry.
Contribution
It introduces a formality theorem for gerbes, generalizing existing results from sheaves to higher categorical structures on manifolds.
Findings
Established a formality theorem for gerbes on smooth manifolds
Extended deformation theory to include gerbes
Bridged the gap between sheaf and gerbe deformations
Abstract
We extend the formality theorem of Maxim Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes on smooth and complex manifolds.
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