Characterizing covers via simple closed curves

DOI10.1007/s10711-022-00760-0OpenAlexW4317105347MaRDI QIDQ2681863

Marissa Loving, Tarik Aougab, Max Lahn, Yang Xiao

Publication date: 31 January 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16988

zbMATH Keywords

curve complexTeichmüller theorytopology of surfaces

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• The Sunada construction and the simple length spectrum
• Curve complexes are rigid
• Prym representations of mapping class groups
• Covers and the curve complex
• Riemannian coverings and isospectral manifolds
• Building hyperbolic metrics suited to closed curves and applications to lifting simply
• Geometry of the complex of curves. I: Hyperbolicity
• Two boundaries of Teichmüller space
• The boundary at infinity of the curve complex and the relative Teichmüller space
• Measuring complexity of curves on surfaces
• On a theorem of Peter Scott
• Ergodic Theory of the Space of Measured Laminations
• Subgroups of Surface Groups are Almost Geometric
• Thurston boundary of Teichmüller spaces and the commensurability modular group
• Lifting Curves Simply
• The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces.With the appendix by Khalid Bou–Rabee
• Geometry and spectra of compact Riemann surfaces

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