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Deformation quantization of gerbes

P. Bressler·A. Gorokhovsky·R. Nest·B. Tsygan
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Abstract

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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BibTeXRIS

P. Bressler, A. Gorokhovsky, R. Nest, B. Tsygan. 2007-01-12. Deformation quantization of gerbes. https://arxiv.org/abs/math/0512136

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