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Foliations of some 3-manifolds
which fiber over the circle


Authors: D. Cooper and D. D. Long
Journal: Proc. Amer. Math. Soc. 126 (1998), 925-931
MSC (1991): Primary 57M50, 57M60, 57R30
DOI: https://doi.org/10.1090/S0002-9939-98-04225-7
MathSciNet review: 1443821
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Abstract | References | Similar Articles | Additional Information

Abstract: We show that a hyperbolic punctured torus bundle admits a foliation by lines which is covered by a product foliation. Thus its fundamental group acts freely on the plane.


References [Enhancements On Off] (What's this?)

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  • 2. D. Cooper, D.D. Long & A.W. Reid Essential closed surfaces in bounded 3-manifolds. J. Amer. Math. Soc. 10 (1997), no. 3, 553-563.
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  • 4. K. Kuperberg A smooth counterexample to the Seifert conjecture. Ann. of Math. 140 (1994), no. 3, 723-732. MR 95g:57040
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Additional Information

D. Cooper
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: cooper@math.ucsb.edu

D. D. Long
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: long@math.ucsb.edu

DOI: https://doi.org/10.1090/S0002-9939-98-04225-7
Keywords: $3$-manifold, foliation, product-covered, surface-bundle
Received by editor(s): June 16, 1996
Received by editor(s) in revised form: September 4, 1996
Additional Notes: Both authors was supported in part by NSF
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1998 American Mathematical Society

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