Growth of the Weil-Petersson inradius of moduli space
From MaRDI portal
Publication:2421942
DOI10.5802/aif.3272zbMath1472.32007arXiv1805.09087OpenAlexW2964333208MaRDI QIDQ2421942
Publication date: 18 June 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.09087
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)
Related Items
A new uniform lower bound on Weil-Petersson distance, Small eigenvalues of closed Riemann surfaces for large genus, Large genus asymptotics for lengths of separating closed geodesics on random surfaces, The maximal systole of hyperbolic surfaces with maximal \(S^3\)-extendable abelian symmetry
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
- The Weil-Petersson Hessian of length on Teichmüller space
- Towards large genus asymptotics of intersection numbers on moduli spaces of curves
- Pants decompositions of random surfaces
- Growth of the Weil-Petersson diameter of moduli space
- Asymptotics of Weil-Petersson geodesics. II: Bounded geometry and unbounded entropy
- Inflexibility, Weil-Petersson distance, and volumes of fibered 3-manifolds
- Schwarz's lemma and the upper bound of the injectivity radius of surfaces
- Recurrent Weil-Petersson geodesic rays with non-uniquely ergodic ending laminations
- Behavior of geodesic-length functions on Teichmüller space
- Good geometry on the curve moduli
- Chern forms and the Riemann tensor for the moduli space of curves
- Harmonic maps of the moduli space of compact Riemann surfaces
- On a natural algebraic affine connection on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric
- The length spectra as moduli for compact Riemann surfaces
- The Fenchel-Nielsen deformation
- Weil-Petersson volumes
- Noncompleteness of the Weil-Petersson metric for Teichmüller space
- Schiffer's interior variation and quasiconformal mapping
- The extension of the Weil-Petersson metric to the boundary of Teichmüller space
- Riemann surfaces with shortest geodesic of maximal length
- On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
- Congruence subgroups and maximal Riemann surfaces
- Geodesic length functions and the Nielsen problem
- The Weil-Petersson isometry group
- Topological singularities of generalized systoles
- On the geometry of Weil-Petersson completion of Teichmüller spaces
- Geometry of the Funk metric on Weil-Petersson spaces
- Asymptotics of Weil-Petersson geodesics. I: Ending laminations, recurrence, and flows
- The moduli space of Riemann surfaces of large genus
- The diameter of the thick part of moduli space and simultaneous Whitehead moves
- The Riemannian sectional curvature operator of the Weil-Petersson metric and its application
- Systole growth for finite area hyperbolic surfaces
- On asymptotic Weil-Petersson geometry of Teichmüller space of Riemann surfaces
- Some remarks on Teichmüller's space of Riemann surfaces
- A formula for the Weil-Petersson product of quadratic differentials
- Weil–Petersson isometries via the pants complex
- Weil-Petersson volumes and intersection theory on the moduli space of curves
- Families of Riemann surfaces and Weil-Petersson geometry
- The Weil–Petersson geometry of the moduli space of Riemann surfaces
- Recursion Formulae of Higher Weil-Petersson Volumes
- Fourier coefficients of the resolvent for a Fuchsian group.
- Classification of Weil-Petersson isometries
- Uniform bounds for Weil–Petersson curvatures
- On the Weil–Petersson Curvature of the Moduli Space of Riemann Surfaces of Large Genus
- The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
- The Weil-Petersson geometry on the thick part of the moduli space of Riemann surfaces
- A Remark on Mahler's Compactness Theorem
- The Nielsen realization problem
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- A correspondence between laminations and quadratic differentials
- Estimates of Weil-Petersson volumes via effective divisors