3 papers
math.NA2026
Area-Preserving Parameterization: Variational Principle, Gradient Flow, and Discrete Approximation
Shu-Yung Liu, Kento Sakai, Mei-Heng Yueh
Area-preserving parameterizations are used in applications where relative surface areas must be preserved. We study this problem through the stretch energy. For orientation-preserv…
math.GT2026
Electric Teichmüller spaces and -multicurve graphs
Kento Sakai
Masur and Minsky showed that the curve graph is quasi-isometric to the Teichmüller space electrified along its thin part, and hence the Teichmüller space is weakly relatively hyper…
math.GT2026
Large-scale geometry of graphs interpolating between curve graphs and pants graphs
Erika Kuno, Rin Kuramochi, Kento Sakai
We study two types of graphs interpolating between the curve graph and the pants graph from the viewpoint of large-scale geometry. One was introduced by Erlandsson and Fanoni, and…