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

Christian Pierre

math.RTarXiv:math/0612651

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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