Grothendieck's Reconstruction Principle and 2-dimensional Topology and Geometry
Feng Luo
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, C) representation variety of surface groups, and Thurston's theory of measured laminations.
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