Calegari, Danny (2001) Leafwise smoothing laminations. Algebraic and Geometric Topology, 1 (29). pp. 579-585. ISSN 1472-2747 http://resolver.caltech.edu/CaltechAUTHORS:CALagt01
![[img]](http://authors.library.caltech.edu/style/images/fileicons/application_pdf.png)
|
PDF
See Usage Policy. 100Kb |
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:CALagt01
Abstract
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)] apply.
| Item Type: | Article |
|---|---|
| Additional Information: | Submitted: 17 May 2001. (Revised: 15 August 2001.) Accepted: 11 October 2001. Published: 18 October 2001. arXiv:math.GT/0111119 |
| Subject Keywords: | Lamination, foliation, leafwise smooth, 3--manifold |
| Record Number: | CaltechAUTHORS:CALagt01 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:CALagt01 |
| Alternative URL: | http://dx.doi.org/10.2140/agt.2001.1.579 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 1216 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 05 Jan 2006 |
| Last Modified: | 26 Dec 2012 08:43 |
Repository Staff Only: item control page
