Deformations of algebroid stacks

作者：Bressler Paul; Gorokhovsky Alexander; Nest Ryszard; Tsygan Boris^*

来源：Advances in Mathematics, 2011, 226(4): 3018-3087.

DOI：10.1016/j.aim.2010.10.008

• Deformation quantization
• Algebroid stacks
• Gerbes

In this paper we consider deformations of an algebroid stack on an etale groupoid. We construct a differential graded Lie algebra (DGLA) which controls this deformation theory. In the case when the algebroid is a twisted form of functions we show that this DGLA is quasiisomorphic to the twist of the DGLA of Hochschild cochains on the algebra of functions on the groupoid by the characteristic class of the corresponding gerbe.

• 出版日期2011-3-1
• 单位西北大学