Taut foliations

2016/05/06 by Kazez, William H., Roberts, Rachel
#57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1605.02007

Abstract

We describe notions of tautness that arise in the study of C⁰ 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^∞,0 foliations that can be C⁰ approximated by both weakly symplectically fillable, universally tight contact structures and by overtwisted contact structures.

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