Deligne groupoid revisited

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

Research output: Contribution to journalArticle


We show that for a differential graded Lie algebra g whose components vanish in degrees below −1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of g-valued differential forms introduced by V. Hinich [Hinich, 1997].

Original languageEnglish (US)
Article number29
Pages (from-to)1001-1016
Number of pages16
JournalTheory and Applications of Categories
StatePublished - Jul 7 2015



  • Groupoid
  • L∞-algebra
  • Simplicial nerve

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Bressler, P., Gorokhovsky, A., Nest, R., & Tsygan, B. L. (2015). Deligne groupoid revisited. Theory and Applications of Categories, 30, 1001-1016. [29].