Conformal Dehn surgery and the shape of Maskit’s embedding

DOI10.1090/S1088-4173-04-00116-XzbMath1069.30072WikidataQ110022023 ScholiaQ110022023MaRDI QIDQ4827386

Jouni Parkkonen

Publication date: 16 November 2004

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• Non-continuity of the action of the modular group at Bers' boundary of Teichmüller space
• The classification of punctured-torus groups
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• Hausdorff dimension and conformal dynamics. I: Strong convergence of Kleinian groups
• Cusps are dense
• On the horocyclic coordinate for the Teichmüller space of once punctured tori
• Horocyclic Coordinates for Riemann Surfaces and Moduli Spaces. I: Teichmuller and Riemann Spaces of Kleinian Groups
• Canonical mappings between Teichmüller spaces
• Finite dimensional Teichmüller spaces and generalizations
• Algebraic and geometric convergence of Kleinian groups.
• Moduli of marked Riemann surfaces
• Ford and Dirichlet domains for cyclic subgroups of 𝑃𝑆𝐿₂(ℂ) acting on ℍ³_{ℝ} and ∂ℍ³_{ℝ}
• On Cyclic Groups of Möbius Transformations.
• Geometric limits of cyclic groups and the shape of Schottky space
• Cusps in complex boundaries of one-dimensional Teichmüller space

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