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The fundamental group of the real moduli spaces M 0 , n . A preliminary report on the topological aspects of some real algebraic varieties

We prove that the fundamental group of the space of the real points of M0,n(C) is nonabelian (Theorem 14). The technique has a topological nature. Also, we prove that these spaces are non-orientable manifolds (Theorem 16). To our knowledge, the results are new.In a forthcoming manuscript, we investigate the associated combinatorial structures. Many of them were already studied in Computational Biology.