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

Abstract

Contents Introduction § 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 of super Riemann surfaces § 15. Superholomorphic morphisms of super Riemann surfacesBibliography