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Published March 31, 2000 | Published
Journal Article Open

Combinatorial volume preserving flows and taut foliations

Gabai, David

Abstract

A π₁-injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C⁰ taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle tangencies or mapped into a leaf.

Additional Information

© 2000 Birkhäuser Verlag, Basel. Published online: 2000-03-31. Partially supported by NSF Grant DMS-950523 and the MSRI. I want to thank Sergio Fenley for making me rethink about this problem and Will Kazez who suggested many improvements to the text. This work was completed while participating in MSRI's 1996/97 Low Dimensional Topology Program.

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August 19, 2023
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