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Minimal surfaces with the area growth of two planes; the case of infinite symmetry
William H. Meeks, Michael Wolf
We prove that a connected properly immersed minimal surface in Euclidean 3-space with infinite symmetry group whose intersection with a ball of radius R is less than 2\piR^2 is a p…
The Weil-Petersson Isometry Group
Howard Masur, Michael Wolf
We prove that every Weil-Petersson isometry of the Teichmuller space T(g,n) is induced by an element of the extended mapping class group; here 3g-3+n > 1 and (g,n) is not (1,2). Ou…
Harmonic Splittings of Surfaces
Benson Farb, Michael Wolf
We give a proof, using harmonic maps from disks to real trees, of Skora's theorem (Morgan-Otal (1993), Skora (1990), originally conjectured by Shalen): if G is the fundamental grou…
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…
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…