1. The real moduli spaces are non-orientable manifolds. Their fundamental group is non-abelian.

                                                              8 pages .pdf format. The pictures attached to the file: A B

     2. The Rotation Graph 3 pages .pdf format the pictures: A B C

     3. Genome Rearrangements in the real moduli spaces. .pdf format

     4. Notes on real moduli spaces. Future work .pdf format the adjacent pictures can be found above