6 papers
Volume of area-bounded PGL3-Hitchin moduli space
Qiongling Li, Beibei Liu, Weixu Su +1
For the -Hitchin moduli space of unmarked convex structures on the surface with fixed boundary data when , we investigate…
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…
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.…
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…
Every closed surface of genus at least 18 is Loewner
Qiongling Li, Weixu Su
In this paper, we obtain an improved upper bound involving the systole and area for the volume entropy of a Riemannian surface. As a result, we show that every orientable and close…
A comparison between the Avila-Gouëzel-Yoccoz norm and the Teichmüller norm
Weixu Su, Shenxing Zhang
We give a comparison between the Avila-Gouëzel-Yoccoz norm and the Teichmüller norm on the principal stratum of holomorphic quadratic differentials.