A projection from filling currents to Teichmüller space
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Publication:6039990
DOI10.1090/proc/16311zbMath1530.57011arXiv2109.14768OpenAlexW3203198849MaRDI QIDQ6039990
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Publication date: 24 May 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.14768
Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Cites Work
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- Infima of length functions and dual cube complexes
- Length spectra and degeneration of flat metrics
- The lengths of the closed geodesics on a Riemann surface with self- intersections.
- Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
- Lines of minima are uniformly quasigeodesic
- Lines of minima and Teichmüller geodesics
- On Marden's universal constant of Fuchsian groups. II
- The geometry of Teichmüller space via geodesic currents
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- Lines of minima in Teichmüller space
- Building hyperbolic metrics suited to closed curves and applications to lifting simply
- Limit points of lines of minima in Thurston's boundary of Teichmüller space
- Positively ratioed representations
- Shortening all the simple closed geodesics on surfaces with boundary
- Counting curve types
- Currents, systoles, and compactifications of character varieties
- Universal length bounds for non-simple closed geodesics on hyperbolic surfaces
- Cross ratios, Anosov representations and the energy functional on Teichmüller space
- The Nielsen realization problem