BooksecrCollected Volumepp. 349–392

Deformations of gerbes on smooth manifolds

  • Paul Bressler

    Institute for Advanced Study, Princeton, USA

  • Alexander Gorokhovsky

    University of Colorado at Boulder, USA

  • Ryszard Nest

    University of Copenhagen, Denmark

  • Boris Tsygan

    Northwestern University, Evanston, United States
Deformations of gerbes on smooth manifolds cover

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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.