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

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

1999-04-04

arxiv.org/abs/math/9904019v1

Communications in Contemporary Mathematics, Vol. 1, No. 2 (1999) 125-153

Mathematics

Geometric Topology

27 pages, 11 figures. Communications in Contemporary Mathematics, to appear

Scientific paper

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 Teichm\"uller 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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