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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Foliations of some 3-manifolds which fiber over the circle
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by D. Cooper and D. D. Long PDF
Proc. Amer. Math. Soc. 126 (1998), 925-931 Request permission

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
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Additional Information
  • D. Cooper
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
  • MR Author ID: 239760
  • Email: cooper@math.ucsb.edu
  • D. D. Long
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
  • MR Author ID: 201087
  • Email: long@math.ucsb.edu
  • 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
  • © Copyright 1998 American Mathematical Society
  • 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