Deligne groupoid revisited

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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume30
StatePublished - Jul 7 2015

Keywords

  • Groupoid
  • L∞-algebra
  • Simplicial nerve

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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