Grothendieck's Reconstruction Principle and 2-dimensional Topology and Geometry
Geometric Topology
2007-05-23 v1 Algebraic Geometry
Differential Geometry
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 Teichm\"uller theory, the mapping class groups, representation variety of surface groups, and Thurston's theory of measured laminations.
Keywords
Cite
@article{arxiv.math/9904019,
title = {Grothendieck's Reconstruction Principle and 2-dimensional Topology and Geometry},
author = {Feng Luo},
journal= {arXiv preprint arXiv:math/9904019},
year = {2007}
}
Comments
27 pages, 11 figures. Communications in Contemporary Mathematics, to appear