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math.CV2026
The Carathéodory metric on Teichmüller space of genus two surface
Kejie Lin, Weixu Su
Let $\Tei_{g,n}$ be the Teichmüller space of Riemann surfaces of genus with marked points. It is conjectured that the Teichmüller and Carathéodory metrics coincide on a Tei…
math.CV2025
Volume of unit balls associated to quadratic differentials
Weixu Su, Shenxing Zhang
Associated to a holomorphic quadratic differential is a unit ball of the measured lamination space. The Thurston volume of the unit ball defines a function on the moduli space. We…