recently I started reading some articles about the presentation of the fundamental group of lines arrangements in $\mathbb{C}^{2}$ via Wiring diagrams.
I also found some relation with matroid theory. In particular in the article of R. Cordovil and J. Fachada "Braid monodromy groups of wiring diagrams" are established some relations between matroid and braided wiring diagrams.
However, I'd like to find some suggestion and discuss in order to extend these relation to matroid to oriented or complex matroid.