2005/12/06 by Bressler, P., Gorokhovsky, A., Nest, R. +1
#13D03 #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.math/0512136
This is the first in a series of articles devoted to deformation quantization of gerbes. Here we give basic definitions and interpret deformations of a given gerbe as Maurer-Cartan elements of a differential graded Lie algebra (DGLA). We classify all deformations of a given gerbe on a symplectic manifold, as well as provide a deformation-theoretic interpretation of the first Rozansky-Witten class.