Taut foliations of 3-manifolds and suspensions of S 1

David Gabai

Annales de l'institut Fourier (1992)

  • Volume: 42, Issue: 1-2, page 193-208
  • ISSN: 0373-0956

Abstract

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Let M be a compact oriented 3-manifold whose boundary contains a single torus P and let ℱ be a taut foliation on M whose restriction to ∂ M has a Reeb component. The main technical result of the paper, asserts that if N is obtained by Dehn filling P along any curve not parallel to the Reeb component, then N has a taut foliation.

How to cite

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Gabai, David. "Taut foliations of 3-manifolds and suspensions of $S^1$." Annales de l'institut Fourier 42.1-2 (1992): 193-208. <http://eudml.org/doc/74950>.

@article{Gabai1992,
abstract = {Let $M$ be a compact oriented 3-manifold whose boundary contains a single torus $P$ and let $\{\cal F\}$ be a taut foliation on $M$ whose restriction to $\partial M$ has a Reeb component. The main technical result of the paper, asserts that if $N$ is obtained by Dehn filling $P$ along any curve not parallel to the Reeb component, then $N$ has a taut foliation.},
author = {Gabai, David},
journal = {Annales de l'institut Fourier},
keywords = {compact oriented 3-manifold; taut foliation; Reeb component; Dehn filling; foliation induced on boundary; boundary contains a single torus},
language = {eng},
number = {1-2},
pages = {193-208},
publisher = {Association des Annales de l'Institut Fourier},
title = {Taut foliations of 3-manifolds and suspensions of $S^1$},
url = {http://eudml.org/doc/74950},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Gabai, David
TI - Taut foliations of 3-manifolds and suspensions of $S^1$
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 1-2
SP - 193
EP - 208
AB - Let $M$ be a compact oriented 3-manifold whose boundary contains a single torus $P$ and let ${\cal F}$ be a taut foliation on $M$ whose restriction to $\partial M$ has a Reeb component. The main technical result of the paper, asserts that if $N$ is obtained by Dehn filling $P$ along any curve not parallel to the Reeb component, then $N$ has a taut foliation.
LA - eng
KW - compact oriented 3-manifold; taut foliation; Reeb component; Dehn filling; foliation induced on boundary; boundary contains a single torus
UR - http://eudml.org/doc/74950
ER -

References

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