Geometric higher groupoids and categories

Kai Behrend, Ezra Getzler

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In an enriched setting, we show that higher groupoids and higher categories form categories of fibrant objects, and that the nerve of a differential graded algebra is a higher category in the category of algebraic varieties.

Original languageEnglish (US)
Pages (from-to)1-45
Number of pages45
JournalProgress in Mathematics
StatePublished - 2017


  • Categories of fibrant objects
  • Higher categories
  • Higher groupoids
  • Higher stacks
  • Nerve

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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