What do dg-categories form?

Dmitry Tamarkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


We introduce a homotopy 2-category structure on the collection of dg-categories, dgfunctors, and their derived transformations. This construction provides for a conceptual proof of Deligne's conjecture on Hochschild cochains.

Original languageEnglish (US)
Pages (from-to)1335-1358
Number of pages24
JournalCompositio Mathematica
Issue number5
StatePublished - Sep 2007


  • 2-operad
  • Differential graded category
  • Multisimplicial set

ASJC Scopus subject areas

  • Algebra and Number Theory

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