Remarks on the equivalence between differential graded categories and A-infinity categories
Category Theory
2023-04-10 v2 Algebraic Topology
Symplectic Geometry
Abstract
We show that the homotopy theories of differential graded categories and -categories over a field are equivalent at the -categorical level. The results are corollaries of a theorem of Canonaco-Ornaghi-Stellari combined with general relationships between different versions of -categories.
Keywords
Cite
@article{arxiv.2211.05861,
title = {Remarks on the equivalence between differential graded categories and A-infinity categories},
author = {James Pascaleff},
journal= {arXiv preprint arXiv:2211.05861},
year = {2023}
}
Comments
Revised in response to referee comments. 9 pages