Deformations of algebroid stacks

Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)3018-3087
Number of pages70
JournalAdvances in Mathematics
Volume226
Issue number4
DOIs
StatePublished - Mar 1 2011

Keywords

  • Algebroid stacks
  • Deformation quantization
  • Gerbes

ASJC Scopus subject areas

  • Mathematics(all)

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