3 papers
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 punctures. It is conjectured that the Teichmüller and Carathéodory metrics agree on a TeichmÅ
math.DS2026
Counting Saddle Connections on Hyperelliptic Translation Surfaces with a Slit
David Aulicino, Howard Masur, Huiping Pan +1
We consider saddle connections on a translation surface in a hyperelliptic connected component of a stratum that do not intersect the interior of a distinguished saddle connection.…
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…