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TAUT FOLIATIONS IN PUNCTURED SURFACE BUNDLES, I

Published online by Cambridge University Press:  20 August 2001

RACHEL ROBERTS
RACHEL ROBERTS
Affiliation:
Department of Mathematics, Washington University, St Louis, MO 63130, USAroberts@math.wustl.edu
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Abstract

Given a fibred, compact, orientable 3-manifold with single boundary component, we show that a fibration with fiber surface of negative Euler characteristic can be perturbed to yield taut foliations realizing an open interval of boundary slopes about the boundary slope of the fibration. These taut foliations extend to taut foliations in the corresponding surgery manifolds. 2000 Mathematics Subject Classification: primary 57M25; secondary 57R30.

Keywords

3-manifoldpunctured surface bundlefibrationtaut foliationaffine laminationessential lamination
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 82 , Issue 3 , May 2000 , pp. 747 - 768
Copyright
2001 London Mathematical Society

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