Moduli of Riemann surfaces, Hurwitz-type spaces, and their superanalogues

摘要

ContentsIntroduction§ 1. Fuchsian groups and their sequential generators§ 2. Geometry of Fuchsian groups§ 3. Free Fuchsian groups of rank two§ 4. Spaces of Fricke-Klein-Teichmüller type§ 5. Moduli of Riemann surfaces§ 6. The space of holomorphic morphisms of a Riemann surface§ 7. Lifting Fuchsian groups to§ 8. Topological classification of Arf functions and of pairs of Arf functions§ 9. Topological classification of independent sets of Arf functions on compact surfaces§ 10. The moduli space of spinor bundles of rank one§ 11. Super Fuchsian groups, super Riemann surfaces, and their topological types§ 12. Moduli of super Riemann surfaces§ 13.super Fuchsian groups,super Riemann surfaces, and their topological invariants§ 14. Moduli ofsuper Riemann surfaces§ 15. Superholomorphic morphisms of sup