On Moduli of Riemann Surfaces |
Common terms and phrases
Ahlfors algebraic curve analytic functions Automorphic forms B₂ B₂(D B₂(D₂ Banach space Beltrami equation Bers boundary curves canonical closed Riemann surfaces conformal map conformal reflection conformal self-mapping constant continuous and holomorphic converges D₁ definition denote depends holomorphically differentials dim T(G domain of holomorphy dxdy elliptic elements exists finite fixed follows Fuchsian group G₁ genus g hence holomorphic and strongly holomorphic functions holomorphic homeomorphism integral Jordan curve Jordan domain Lemma linear mapping Lipshitz Main Theorem marked surfaces Math Möbius transformation modular group moduli norm normalized self-mapping open Riemann surface parameters Poincaré metric proof properly discontinuous Proposition quasiconformal map real axis reference surface References for Lecture Remark Riemann surface S₁ Schwarzian derivative statement strongly continuous subspace surface of genus Teichmüller metric Teichmüller spaces topological map topological rectangle uniformly upper half plane whole plane τμ