Deformations of gerbes on smooth manifolds
Paul Bressler
Institute for Advanced Study, Princeton, USAAlexander Gorokhovsky
University of Colorado at Boulder, USARyszard Nest
University of Copenhagen, DenmarkBoris Tsygan
Northwestern University, Evanston, United States
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Abstract
We identify the 2-groupoid of deformations of a gerbe on a C∞ manifold with the Deligne 2-groupoid of a corresponding twist of the DGLA of local Hochschild cochains on C∞ functions.