Regularization of Gamma_1-structures in dimension 3

Details Regularization of Gamma_1-structures in dimension 3 Regularization of Gamma_1-structures in dimension 3

2009-06-09

arxiv.org/abs/0906.1748v3

Mathematics

Geometric Topology

Scientific paper

For $\Gamma_1$-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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