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LIFTING SURFACE GROUPS TO SLC2C
REMARKS ON THE CYCLOTOMIC FRICKE GROUPS
A THREEDIMENSIONAL HYPERBOLIC COLLAR LEMMA
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3-manifold Ahlfors Beltrami coefficient boundary components boundary cylinder boundary element boundary subgroup coiieipondence combination theorem compact Klein surfaces complex twist conjugate construct coordinates corresponding cycle cyclic defined deformation degc degD denote distinguished boundary curves divisor Edited equation equivalent extended Fuchsian group Figure finite dimensional finite number fixed points follows Fuchsian group fundamental domain Gap Theorem geodesics gioup gluing group G half-cylinder Hence holomorphic holomorphic function homeomorphism homotopic hyperbolic I-bundle inequality invariant under H isomorphic Klein surfaces Kleinian groups Lemma lens angle loops mapping median meromorphic function metric Mobius transformations monodromy NEC group non-gap normal subgroups oi Math orientation Piooi precisely invariant Proceedings projective structures proof Proposition quadratic differentials quasiconformal mappings ray arg real axis Riemann surfaces S-paired sector Seminaire sequence signature solid torus surface of genus surface with boundary tangent bundle Teichmiiller Teichmuller space Theory topological torus trivial vertex zero