Taut foliations

William H. Kazez; Rachel Roberts

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arXiv · 1605.02007

Taut foliations

William H. Kazez·Rachel Roberts

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Abstract

We describe notions of tautness that arise in the study of $C^0$ foliations, $C^{1,0}$ or smoother foliations, and in geometry. We give examples to show that these notions are different, and discuss how these differences impact some classical foliation results. We construct examples of smoothly taut $C^{\infty,0}$ foliations that can be $C^0$ approximated by both weakly symplectically fillable, universally tight contact structures and by overtwisted contact structures.

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BibTeX RIS

William H. Kazez, Rachel Roberts. 2016-05-06. Taut foliations. https://arxiv.org/abs/1605.02007

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