Comparison of spaces associated to dgla via higher holonomy

Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan

Research output: Contribution to journalArticlepeer-review

Abstract

For a differential graded Lie algebra g whose components vanish in degrees below −1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the simplicial set of g-valued differential forms introduced by V. Hinich. The construction uses the theory of non-abelian multiplicative integration.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalContemporary Mathematics
Volume749
DOIs
StatePublished - 2020

ASJC Scopus subject areas

  • Mathematics(all)

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