3 papers
math.NA2025
A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces
Zhipeng Zhu, Wai Yeung Lam, Lok Ming Lui
Motivated by geometry processing for surfaces with non-trivial topology, we study discrete harmonic maps between closed surfaces of genus at least two. Harmonic maps provide a natu…
math.GT2024
Space of circle patterns on tori and its symplectic form
Wai Yeung Lam
We consider circle patterns on closed tori equipped with complex projective structures. There is an embedding of the space of circle patterns to the Teichmüller space of a puncture…
math.GT2024
Pullback of symplectic forms to the space of circle patterns
Wai Yeung Lam
We consider circle patterns on surfaces with complex projective structures. We investigate two symplectic forms pulled back to the deformation space of circle patterns. The first o…