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Deformations of gerbes on smooth manifolds

P. Bressler·A. Gorokhovsky·R. Nest·B. Tsygan
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Abstract

We identify the 2-groupoid of deformations of a gerbe on a smooth manifold with the Deligne 2-groupoid of a corresponding twist of the DGLA of local Hochschild cochains on infinite jets of smooth functions.

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P. Bressler, A. Gorokhovsky, R. Nest, B. Tsygan. 2007-03-17. Deformations of gerbes on smooth manifolds. https://arxiv.org/abs/math/0701380

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