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math.DG2000★ 12 cited
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…
math.DG2000
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…