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math.GT2020★ 2 cited
CMC-1 surfaces via osculating Möbius transformations between circle patterns
Wai Yeung Lam
Given two circle patterns of the same combinatorics in the plane, the Möbius transformations mapping circumdisks of one to the other induces a -valued function o…
math.GT2019★ 6 cited
Quadratic differentials and circle patterns on complex projective tori
Wai Yeung Lam
Given a triangulation of a closed surface, we consider a cross ratio system that assigns a complex number to every edge satisfying certain polynomial equations per vertex. Every cr…