A combinatorial model for the Teichmüller metric
From MaRDI portal
Publication:2458420
DOI10.1007/s00039-007-0615-xzbMath1129.30031arXivmath/0509584OpenAlexW2108319291MaRDI QIDQ2458420
Publication date: 31 October 2007
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0509584
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)
Related Items
Intersection numbers in the curve complex via subsurface projections ⋮ THE GEOMETRY OF THE HANDLEBODY GROUPS I: DISTORTION ⋮ Margulis spacetimes via the arc complex ⋮ RELATIVE TWISTING IN OUTER SPACE ⋮ Hierarchical hyperbolicity of graphs of multicurves ⋮ Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups ⋮ Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Bottlenecks for Weil-Petersson geodesics ⋮ Small eigenvalues of random 3-manifolds ⋮ Deviation inequalities for random walks ⋮ Lattice point asymptotics and volume growth on Teichmüller space ⋮ The augmented marking complex of a surface ⋮ Stable cubulations, bicombings, and barycenters ⋮ Random walks on mapping class groups ⋮ Convexity in hierarchically hyperbolic spaces ⋮ On train-track splitting sequences ⋮ Bounded combinatorics and the Lipschitz metric on Teichmüller space ⋮ Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation ⋮ An arc graph distance formula for the flip graph ⋮ Limits in \(\mathcal{PMF}\) of Teichmüller geodesics ⋮ Counting closed geodesics in strata ⋮ The Farrell-Jones conjecture for mapping class groups ⋮ Hyperbolicity in Teichmüller space ⋮ How to read the length of a braid from its curve diagram. ⋮ Word length statistics for Teichmüller geodesics and singularity of harmonic measure ⋮ The geometry of the disk complex ⋮ Stability of quasi-geodesics in Teichmüller space ⋮ Hierarchically hyperbolic groups are determined by their Morse boundaries ⋮ Asymptotics of Weil-Petersson geodesics. II: Bounded geometry and unbounded entropy ⋮ Teichmüller geodesics with \(d\)-dimensional limit sets ⋮ Rigidity of Teichmüller space ⋮ Limit sets of Teichmüller geodesics with minimal nonuniquely ergodic vertical foliation. II ⋮ Statistical hyperbolicity in Teichmüller space ⋮ Coarse and synthetic Weil-Petersson geometry: Quasi-flats, geodesics and relative hyperbolicity ⋮ Trimmed sums of twists and the area Siegel-Veech constant ⋮ Bounded combinatorics and uniform models for hyperbolic 3-manifolds ⋮ Covers and the curve complex ⋮ Large-scale rank and rigidity of the Teichmüller metric ⋮ Genericity of pseudo-Anosov mapping classes, when seen as mapping classes ⋮ Elliptic actions on Teichmüller space ⋮ Exotic limit sets of Teichmüller geodesics in the HHS boundary ⋮ Divergence of geodesics in Teichmüller space and the mapping class group ⋮ Local geometry of the 𝑘-curve graph ⋮ Affine diffeomorphism groups are undistorted ⋮ Hierarchical hyperbolicity of graph products ⋮ Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
