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Classification of Supertransitive 2-Webs on Surfaces
Authors:S Kh Aranson  V Z Grines  V A Kaimanovich
Affiliation:(1) San Diego, CA;(2) NNSA Academy, Nizhnii Novgorod, 03107, Russia;(3) CNRS UMR 6625, IRMAR, Université Rennes-1, Campus Beaulieu, 35042 Rennes, France
Abstract:We obtain a complete classification of supertransitive 2-webs on a closed oriented surface of genus p ge 1 in terms of asymptotic directions of leaves on the universal covering surface and represent all topological classes of 2-webs by means of compatible pairs of transversal perfect geodesic laminations.
Keywords:Anosov and pseudo-Anosov diffeomorphisms  supertransitive webs  geodesic laminations  topological classification
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