The topological type of the Fano surface of a real three-dimensional M-cubic

We compute the topological type of the real part of the Fano surface that parametrizes the set of real lines a non-singular real M-threefold. When studying Fano surfaces, we use the results and constructions on the intermediate Jacobian of a three-dimensional complex cubic. We begin by computing the topological type of the real part of the Fano surface that parametrizes the set of real lines on a singular real M-cubic with a single simple singular point