An ${\mathsf{A}}_{\infty }$ version of the Poincaré lemma

Camilo Arias Abad, Alexander Quintero Velez, Sebastian Velez Vasquez

We prove a categorified version of the Poincaré lemma. The natural setting for our result is that of $\infty$-local systems. More precisely, we show that any smooth homotopy betwee…