Finite dimensional Teichmüller spaces and generalizations

Abstract

CONTENTS 0. Background 1. Introduction 2. Teichmuller spaces and modular groups 3. Teichmller's theorem 4. Real boundaries 5. Classification of modular transformations 6. Embedding into complex number space 7. Metrics in Teichmuller space 8. Quasi-Fuchsian groups 9. Fiber spaces over Teichmuller spaces 10. Complex boundaries 11. 6-groups 12. Ahlfors' problem, Sullivan's theorem and the complex boundary 13. The Maskit embedding 14. Riemann surfaces with nodes 15. Strong deformation spaces 16. Complex structure of deformation spaces 17. Moduli spaces APPENDIX 18. Some auxiliary results. 19. Infinite dimensional Teichmuller spaces References