Grothendieck's Reconstruction Principle and 2-dimensional Topology and Geometry
Abstract
Description
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.
27 pages, 11 figures. Communications in Contemporary Mathematics, to appear
27 pages, 11 figures. Communications in Contemporary Mathematics, to appear