The Thurston's program derived from the Langlands global program with singularities

Details The Thurston's program derived from the Langlands global program with singularities The Thurston's program derived from the Langlands global program with singularities

2006-12-21

arxiv.org/abs/math/0612651v1

Mathematics

Representation Theory

27 pages

Scientific paper

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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