Regularization of Gamma_1-structures in dimension 3
Résumé
For co-orientable $\Gamma_1$-structures on 3-manifolds, we give a very simple proof of Thurston's regularization theorem, first proved in \cite{thurston}, without using the perfectness of the group of diffeomorphisms of the circle, nor Mather's homology equivalence. In particular it applies in classes of regularity where perfectness does not hold (or is not known to hold). Moreover the resulting foliation can be chosen of a precise kind, namely an ``open book foliation modified by suspension''.
Domaines
Topologie géométrique [math.GT]
Origine : Fichiers produits par l'(les) auteur(s)