Algebraic and Geometric Topology 1 (2001),
paper no. 29, pages 579-585.
Leafwise smoothing laminations
We show that every topological surface lamination of a 3-manifold M is
isotopic to one with smoothly immersed leaves. This carries out a
project proposed by Gabai in [Problems in foliations and laminations,
AMS/IP Stud. Adv. Math. 2.2 1--33]. Consequently any such lamination
admits the structure of a Riemann surface lamination, and therefore
useful structure theorems of Candel [Uniformization of surface
laminations, Ann. Sci. Ecole Norm. Sup. 26 (1993) 489--516] and Ghys
[Dynamique et geometrie complexes, Panoramas et Syntheses 8 (1999)]
Lamination, foliation, leafwise smooth, 3--manifold
AMS subject classification.
Submitted: 17 May 2001.
(Revised: 15 August 2001.)
Accepted: 11 October 2001.
Published: 18 October 2001.
Notes on file formats
Department of Mathematics
Cambridge, MA 02138
AGT home page
These pages are not updated anymore.
They reflect the state of
For the current production of this journal, please refer to