%0 Journal Article %T Exact triangles as modules over an $A_\infty$-category %A Theo Johnson-Freyd %J Mathematics %D 2015 %I arXiv %X This note describes a strictly-unital $A_\infty$-category whose representations are exact triangles such that the three-fold symmetry on exact triangles is manifest on the $A_\infty$-category. %U http://arxiv.org/abs/1510.07275v2