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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-manifoldwith single boundary component, we show that afibration with fiber surface of negative Eulercharacteristic can be perturbed to yield tautfoliations realizing an open interval of boundaryslopes about the boundary slope of the fibration.These taut foliations extend to taut foliationsin the corresponding surgery manifolds. 2000 Mathematics Subject Classification: primary 57M25; secondary 57R30.

Keywords

3-manifoldpunctured surface bundlefibrationtaut foliationaffine laminationessential lamination

Information

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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