Remarks on the equivalence between differential graded categories and A-infinity categories

Abstract

We show that the homotopy theories of differential graded categories and ${\mathrm{A}}_{\infty }$-categories over a field are equivalent at the $(\infty ,1)$-categorical level. The results are corollaries of a theorem of Canonaco-Ornaghi-Stellari combined with general relationships between different versions of $(\infty ,1)$-categories.

arXiv commentRevised in response to referee comments. 9 pages