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Deformations of gerbes on smooth manifolds

2007/01/13 by Paul Bressler, Alexander Gorokhovsky, Bressler, P. +5 · 3 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/0701380

openalex publication_date 2007/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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