Higher Holonomy for Higher Lie Algebroid Connections on Graded Vector Bundles

Sven Holtrop, Jaime Pedregal

We prove the existence of a Riemann--Hilbert $A_{\infty }$-functor from the curved dg-category of $\mathcal{A}$-connections on graded vector bundles, where $\mathcal{A}$ is a higher L…