@article{09fe13fe067548c9afc2306ce83d950d,
title = "Noncommutative gerbes and deformation quantization",
abstract = "We define noncommutative gerbes using the language of star products. Quantized twisted Poisson structures are discussed as an explicit realization in the sense of deformation quantization. Our motivation is the noncommutative description of D-branes in the presence of topologically non-trivial background fields.",
keywords = "Deformation quantization, Gerbes, Noncommutative geometry, Twisted Poisson structures",
author = "Paolo Aschieri and Igor Bakovi{\'c} and Branislav Jur{\v c}o and Peter Schupp",
note = "Funding Information: B.J. would like to thank C. Klim{\v c}{\'i}k for inspiring discussions and hospitality in Marseille, and P. {\v S}evera for sharing his independent insights on quantized twisted Poisson structures. We are grateful to Y. Soibelman for clarifying some subtle points concerning Kontsevich{\textquoteright}s formality. This paper is the revised version of arXiv hep-th/0206101v1 , we would also like to express our thanks to the referee for his comments and suggestions. The work of P.A. has been in part supported by the Italian MIUR under PRIN Algebre di Operatori ed Applicazioni. The work of I.B. has been supported by the Croatian Ministry of Science, Education and Sport, Project Nr. 098-0982930-2900.",
year = "2010",
month = nov,
doi = "10.1016/j.geomphys.2010.06.003",
language = "English",
volume = "60",
pages = "1754--1761",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier B.V.",
number = "11",
}