3 papers
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.GT2026
Envelopes of the Thurston metric on Teichmüller space
Huiping Pan, Michael Wolf
For the Thurston (asymmetric) metric on Teichmüller space, the defect from being uniquely geodesic is described by the envelope, defined as the union of geodesics from the initial…
math.GT2026
Ray structures on Teichmüller Space
Huiping Pan, Michael Wolf
While there may be many Thurston metric geodesics between a pair of points in Teichmüller space, we find that by imposing an additional energy minimization constraint on the geode…