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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 1443821
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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.


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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: http://dx.doi.org/10.1090/S0002-9939-98-04225-7
PII: S 0002-9939(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