Regularization of Γ 1 - structures in dimension 3


For Γ1-structures on 3-manifolds, we give a very simple proof of Thurston’s regularization theorem, first proved in [13], without using Mather’s homology equivalence. Moreover, in the co-orientable case, the resulting foliation can be chosen of a precise kind, namely an “open book foliation modified by suspension”. There is also a model in the non co-orientable case.

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@inproceedings{Laudenbach2009RegularizationO, title={Regularization of Γ 1 - structures in dimension 3}, author={François Laudenbach and GA{\"E}L MEIGNIEZ}, year={2009} }