Deformations of algebroid stacks

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Standard

Deformations of algebroid stacks. / Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris.

I: Advances in Mathematics, Bind 226, Nr. 4, 2011, s. 3013-3087.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bressler, P, Gorokhovsky, A, Nest, R & Tsygan, B 2011, 'Deformations of algebroid stacks', Advances in Mathematics, bind 226, nr. 4, s. 3013-3087. https://doi.org/10.1016/j.aim.2010.10.008

APA

Bressler, P., Gorokhovsky, A., Nest, R., & Tsygan, B. (2011). Deformations of algebroid stacks. Advances in Mathematics, 226(4), 3013-3087. https://doi.org/10.1016/j.aim.2010.10.008

Vancouver

Bressler P, Gorokhovsky A, Nest R, Tsygan B. Deformations of algebroid stacks. Advances in Mathematics. 2011;226(4):3013-3087. https://doi.org/10.1016/j.aim.2010.10.008

Author

Bressler, Paul ; Gorokhovsky, Alexander ; Nest, Ryszard ; Tsygan, Boris. / Deformations of algebroid stacks. I: Advances in Mathematics. 2011 ; Bind 226, Nr. 4. s. 3013-3087.

Bibtex

@article{d4b69d08f20b42c299666f0ad771ca79,
title = "Deformations of algebroid stacks",
abstract = "In this paper we consider deformations of an algebroid stack on an {\'e}tale 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.",
author = "Paul Bressler and Alexander Gorokhovsky and Ryszard Nest and Boris Tsygan",
year = "2011",
doi = "10.1016/j.aim.2010.10.008",
language = "English",
volume = "226",
pages = "3013--3087",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",
number = "4",

}

RIS

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