Free ${A}_\infty$-categories
Category Theory
2008-02-17 v4
Abstract
For a differential graded k-quiver Q we define the free A-infinity-category FQ generated by Q. The main result is that for an arbitrary A-infinity-category A the restriction A-infinity-functor A_\infty(FQ,A) -> A_1(Q,A) is an equivalence, where objects of the last A-infinity-category are morphisms of differential graded k-quivers Q -> A.
Keywords
Cite
@article{arxiv.math/0312339,
title = {Free ${A}_\infty$-categories},
author = {Volodymyr Lyubashenko and Oleksandr Manzyuk},
journal= {arXiv preprint arXiv:math/0312339},
year = {2008}
}
Comments
32 pages, LaTeX, uses Paul Taylor's diagrams.sty. Close to published version. Resubmitted for TeXnical reasons