The diagonal slice of Schottky space

DOI10.2140/agt.2017.17.2239zbMath1386.30045arXiv1409.6863OpenAlexW3102748567MaRDI QIDQ2398918

Caroline Series, Yasushi Yamashita, Ser-Peow Tan

Publication date: 21 August 2017

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6863

zbMATH Keywords

discrete groupprimitive elementSchottky spaceBowditch condition

Mathematics Subject Classification ID

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

Related Items (6)

Dirichlet domains for some one-cone torus bundles ⋮ Polynomial automorphisms of \(\mathbb {C}^n\) preserving the Markoff-Hurwitz polynomial ⋮ The realization problem for Jørgensen numbers ⋮ On the character variety of the four-holed sphere ⋮ Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane ⋮ Random Kleinian Groups, II Two Parabolic Generators

Cites Work

• Unnamed Item
• Unnamed Item
• On the character variety of the four-holed sphere
• Punctured torus groups and 2-bridge knot groups. I
• The geometry of Markoff numbers
• Lifting representations to covering groups
• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• Pleating invariants for punctured torus groups.
• The modular group action on real \(SL(2)\)-characters of a one-holed torus
• Continuity of convex hull boundaries
• Generalized Markoff maps and McShane's identity
• Lengths are coordinates for convex structures
• Necessary and sufficient conditions for McShane's identity and variations
• Measured pleated laminations of hyperbolic manifolds of dimension 3
• OPTi's Algorithm for Discreteness Determination
• Markoff triples and quasifuchsian groups
• The Riley Slice of Schottky Space
• Hyperbolic Manifolds
• Simple loops on surfaces and their intersection numbers
• An extension of Wolpert's derivative formula.

This page was built for publication: The diagonal slice of Schottky space