The realization problem for Jørgensen numbers

DOI10.1090/ecgd/331zbMath1423.30031arXiv1703.07732OpenAlexW2739074031MaRDI QIDQ5742752

Ryosuke Yamazaki, Yasushi Yamashita

Publication date: 8 May 2019

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

Full work available at URL: https://arxiv.org/abs/1703.07732

zbMATH Keywords

Kleinian groupsJørgensen's inequalityJørgensen number

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Jørgensen numbers and their analogs for groups of figure-eight orbifolds
• Primitives in the free group on two generators
• Elementary geometry in hyperbolic space
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• Jørgensen groups of parabolic type II (countably infinite case)
• A fundamental polyhedron for the figure-eight knot group
• The diagonal slice of Schottky space
• Generalized Markoff maps and McShane's identity
• Jørgensen subgroups of the Picard group
• Jørgensen groups of parabolic type I (finite case)
• The Jørgensen number of the Whitehead link group
• Jørgensen groups of parabolic type. III: Uncountably infinite case.
• Stability and extremality in j⊘rgensen's inequality
• Jørgensen number and arithmeticity
• On Discrete Groups of Mobius Transformations
• Some extreme discrete groups
• Markoff triples and quasifuchsian groups
• The Riley Slice of Schottky Space

This page was built for publication: The realization problem for Jørgensen numbers