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math.DG1998
The grafting map of Teichmuller space
Kevin P. Scannell, Michael Wolf
Grafting is a method of obtaining new projective structures from a hyperbolic structure, basically by gluing a flat cylinder into a surface along a closed geodesic in the hyperboli…
math.DG1998
Minimal Surfaces of Least Total Curvature and Moduli Spaces of Plane Polygonal Arcs
Matthias Weber, Michael Wolf
We prove the existence of complete minimal surfaces of genus g>1 which minimize the total curvature for their genus. Our method is first to identify this (Weierstrass high dimensio…