Deformations of algebroid stacks
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Deformations of algebroid stacks. / Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris.
In: Advances in Mathematics, Vol. 226, No. 4, 2011, p. 3013-3087.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Deformations of algebroid stacks
AU - Bressler, Paul
AU - Gorokhovsky, Alexander
AU - Nest, Ryszard
AU - Tsygan, Boris
PY - 2011
Y1 - 2011
N2 - In this paper we consider deformations of an algebroid stack on an étale 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.
AB - In this paper we consider deformations of an algebroid stack on an étale 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.
U2 - 10.1016/j.aim.2010.10.008
DO - 10.1016/j.aim.2010.10.008
M3 - Journal article
VL - 226
SP - 3013
EP - 3087
JO - Advances in Mathematics
JF - Advances in Mathematics
SN - 0001-8708
IS - 4
ER -
ID: 36008782