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Grothendieck's Reconstruction Principle and 2-dimensional Topology and Geometry

1999/04/04 by Feng Luo
Mathematics · #math.GT #math.AG #math.DG

paper · pdf

published as Communications in Contemporary Mathematics, Vol. 1, No. 2 (1999) 125-153 · 27 pages, 11 figures. Communications in Contemporary Mathematics, to appear

arxiv created 1999/04/04 · arxiv updated 2009/11/30

Abstract

This paper attempts to relate some ideas of Grothendieck in his Esquisse d'un programme and some of the recent results on 2-dimensional topology and geometry. Especially, we shall discuss the Teichmüller theory, the mapping class groups, SL(2, \bold C) representation variety of surface groups, and Thurston's theory of measured laminations.

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