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Full laminations in 3-manifolds

Published online by Cambridge University Press:  24 October 2008

A. Hatcher  and
U. Oertel
A. Hatcher
Affiliation:
Cornell University, Ithaca NY 14853-7901, U.S.A
U. Oertel
Affiliation:
Rutgers University, Newark NJ 07102, U.S.A
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Extract

Essential laminations in 3-manifolds, introduced in [GO], are a natural generalization of both incompressible surfaces and foliations without Reeb components. One of the main reasons why essential laminations are of particular interest is that many manifolds which contain no incompressible surfaces contain essential laminations. Indeed, there is some evidence that almost all irreducible manifolds with infinite fundamental group contain essential laminations [B1; D; GM; GO; H; N; R], the only known exceptions being Seifert manifolds [B2]. So essential laminations are potentially a quite powerful tool for studying non-Haken 3-manifolds.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 1 , January 1996 , pp. 73 - 82
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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