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Geodesic laminations with transverse hölder distributions1

Geodesic laminations with transverse hölder distributions1

To interpolate between isotopy classes of simple closed curves on a surface S, Thurston introduced the space ML(S) of geodesic laminations with transverse measures on S. The main purpose of this paper is to develop a differential calculus on ML(S). This space is a piecewise linear manifold, but does not …