Regularization of Gamma_1-structures in dimension 3

Francois Laudenbach; Gaël Meigniez

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arXiv · 0906.1748

Regularization of Gamma_1-structures in dimension 3

Francois Laudenbach·Gaël Meigniez

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Abstract

For $Γ_1$-structures on 3-manifolds, we give a very simple proof of Thurston's regularization theorem, first proved in \cite{thurston}, 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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Francois Laudenbach, Gaël Meigniez. 2009-09-14. Regularization of Gamma_1-structures in dimension 3. https://arxiv.org/abs/0906.1748

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