Deformation quantization of gerbes

Details Deformation quantization of gerbes Deformation quantization of gerbes

2005-12-06

arxiv.org/abs/math/0512136v2

Mathematics

Quantum Algebra

Revised version

Scientific paper

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.

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