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12 votes
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3-manifold foliated by circles is Seifert fibered

Let $M$ be a compact 3-manifold with boundary equipped with a 1-dimensional foliation all of whose leaves are circles. An old theorem of Epstein says that $M$ is a Seifert fibered space. The proof of ...
Laura's user avatar
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10 votes
0 answers
288 views

Contact structures associated to taut foliations

Eliashberg and Thurston showed that a taut foliation may be deformed to tight (positive and negative) contact structures. Vogel proved that for a taut foliation without torus leaves, the associated ...
Ian Agol's user avatar
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4 votes
0 answers
161 views

Question on the construction of transversely oriented foliation on a sutured 3-manifold

The question is based on the proof of the main theorem of Gabai's paper on Foliations and the topology of 3-manifolds which is the following: Theorem 5.1. Suppose $M$ is connected, and $(M,\gamma)$ ...
one potato two potato's user avatar
4 votes
0 answers
172 views

Survey or good reference of taut foliations

I am interested in the topology of foliations. In particular, I want to understand taut foliations, or projectively Anosov flows, and Anosov flows. I guess that A. Candel and L. Conlon, Foliations I (...
user473085's user avatar