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• W1704006912 abstract "By using Thurston’s bending construction we obtain a sequence of faithful discrete representations ρn of the fundamental group of a closed hyperbolic 3–manifold fibering over the circle into the isometry group Iso H of the hyperbolic space H . The algebraic limit of ρn contains a finitely generated subgroup F whose 3–dimensional quotient Ω(F )/F has infinitely generated fundamental group, where Ω(F ) is the discontinuity domain of F acting on the sphere at infinity S ∞ = ∂H 4 . Moreover F is isomorphic to the fundamental group of a closed surface and contains infinitely many conjugacy classes of maximal parabolic subgroups. AMS Classification 57M10, 30F40, 20H10; 57S30, 57M05, 30F10, 30F35" @default.
• W1704006912 created "2016-06-24" @default.
• W1704006912 creator A5081729107 @default.
• W1704006912 date "1998-11-17" @default.
• W1704006912 modified "2023-09-27" @default.
• W1704006912 title "The boundary of the deformation space of the fundamental group of some hyperbolic 3–manifolds fibering over the circle" @default.
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• W1704006912 doi "https://doi.org/10.2140/gtm.1998.1.479" @default.
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