The diameter of the thick part of moduli space and simultaneous Whitehead moves

DOI10.1215/00127094-2323128zbMath1277.32013arXiv1108.4150OpenAlexW2963935421MaRDI QIDQ2393592

Jing Tao, Kasra Rafi

Publication date: 8 August 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4150

zbMATH Keywords

Teichmüller metricmetric graphLipschitz metricpants decompositionsimultaneous Whitehead movethick part of moduli space

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Graph algorithms (graph-theoretic aspects) (05C85) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

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Local maxima of the systole function ⋮ The moduli space of Riemann surfaces of large genus ⋮ Small eigenvalues of closed Riemann surfaces for large genus ⋮ Growth of the Weil-Petersson inradius of moduli space ⋮ A flexible theoretical representation for the temporal dynamics of structured populations as paths on polytope complexes ⋮ Upper bound on distance in the pants complex ⋮ On the Finsler structure of Teichmüller's metric and Thurston's metric ⋮ Uniform growth rate ⋮ The geometry of flip graphs and mapping class groups

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