Deformation quantization of gerbes
量子代数
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0512136,
title = {Deformation quantization of gerbes},
author = {P. Bressler and A. Gorokhovsky and R. Nest and B. Tsygan},
journal= {arXiv preprint arXiv:math/0512136},
year = {2007}
}
备注
Revised version