Markoff triples and quasifuchsian groups
From MaRDI portal
Publication:4221145
DOI10.1112/S0024611598000604zbMath0928.11030OpenAlexW2079129774WikidataQ128379135 ScholiaQ128379135MaRDI QIDQ4221145
Publication date: 8 March 1999
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024611598000604
Structure of modular groups and generalizations; arithmetic groups (11F06) Markov and Lagrange spectra and generalizations (11J06) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
Related Items (51)
The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms ⋮ EXOTIC COMPONENTS IN LINEAR SLICES OF QUASI-FUCHSIAN GROUPS ⋮ Arithmetic hyperbolic surface bundles ⋮ Lengthening deformations of singular hyperbolic tori ⋮ Simple geodesics on a punctured surface ⋮ The diagonal slice of Schottky space ⋮ A variation of McShane's identity for 2-bridge links ⋮ McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential ⋮ Ford domains of Fuchsian once-punctured Klein bottle groups ⋮ A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection ⋮ Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots ⋮ Super McShane identity ⋮ Approximations of the Riley slice ⋮ On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters ⋮ The modular group action on real \(SL(2)\)-characters of a one-holed torus ⋮ Interpolation of Markoff transformations on the Fricke surface ⋮ Lengths of geodesics on non-orientable hyperbolic surfaces ⋮ Formal Markoff maps are positive ⋮ Some Connections of Complex Dynamics ⋮ Farey recursive functions ⋮ Generalized Markoff maps and McShane's identity ⋮ Simple geodesics and Markoff quads ⋮ Polynomial automorphisms of \(\mathbb {C}^n\) preserving the Markoff-Hurwitz polynomial ⋮ Hyperbolic cone-manifold structures with prescribed holonomy. I: Punctured tori ⋮ Non-linear residually finite groups. ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ The realization problem for Jørgensen numbers ⋮ Geodesic axes in the pants complex of the five-holed sphere ⋮ Necessary and sufficient conditions for McShane's identity and variations ⋮ c-Gluing construction and slices of quasi-Fuchsian space ⋮ Bers and Hénon, Painlevé and Schrödinger ⋮ Linear slices close to a Maskit slice ⋮ Farey recursion and the character varieties for 2-bridge knots ⋮ Bowditch’s Q-conditions and Minsky’s primitive stability ⋮ On the character variety of the four-holed sphere ⋮ On the character variety of the three–holed projective plane ⋮ Discrete and free two-generated subgroups of \(SL_2\) over non-Archimedean local fields ⋮ The cycle structure of a Markoff automorphism over finite fields ⋮ Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane ⋮ Six-point configurations in the hyperbolic plane and ergodicity of the mapping class group ⋮ On type-preserving representations of thrice punctured projective plane group ⋮ The modular torus has maximal length spectrum ⋮ Geometry and Markoff’s spectrum for ℚ(𝕚), I ⋮ Quasi-convexity and shrinkwrapping ⋮ Modular embeddings and rigidity for Fuchsian groups ⋮ Random Kleinian Groups, II Two Parabolic Generators ⋮ Earle slices associated with involutions for once punctured torus ⋮ The core chain of circles of Maskit’s embedding for once-punctured torus groups ⋮ The ${\mathrm {SL}(2,{\mathbb C})}$ character variety of a one-holed torus ⋮ Dynamics on PSL(2, \(\mathbb C\))-character varieties: 3-manifolds with toroidal boundary components ⋮ The modular action on \(\mathrm{PSL}_2(\mathbb{R})\)-characters in genus 2
This page was built for publication: Markoff triples and quasifuchsian groups