VB-algebroid morphisms and representations up to homotopy

Thiago Drummond, Madeleine Jotz Lean, Cristian Ortiz

We show in this paper that the correspondence between $2$-term representations up to homotopy and $\mathcal{V}\mathcal{B}$-algebroids, established by Gracia-Saz and Mehta, holds also at the…