The Thurston's program derived from the Langlands global program with singularities
Representation Theory
2007-05-23 v1 Geometric Topology
Abstract
The seven non euclidean geometries of the Thurston's geometrization program are proved to originate naturally from singularization morphisms and versal deformations on euclidean 3-manifolds generated in the frame of the Langlands global program. The Poincare conjecture for a 3-manifold appears as a particular case of this new approach of the Thurston'program.
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Cite
@article{arxiv.math/0612651,
title = {The Thurston's program derived from the Langlands global program with singularities},
author = {Christian Pierre},
journal= {arXiv preprint arXiv:math/0612651},
year = {2007}
}
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27 pages