Geometry & Topology Volume 7, issue 1 (2003)

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ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

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An algorithm to detect laminar 3–manifolds

Ian Agol and Tao Li

Geometry & Topology 7 (2003) 287–309

DOI: 10.2140/gt.2003.7.287

arXiv: math.GT/0201310

Abstract

We show that there are algorithms to determine if a 3–manifold contains an essential lamination or a Reebless foliation.

Keywords

Algorithm, foliation, 3-manifold, lamination

Mathematical Subject Classification 2000

Primary: 57M50

Secondary: 57M25

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Publication

Received: 13 February 2002

Revised: 18 March 2003

Accepted: 24 April 2003

Published: 27 April 2003

Proposed: David Gabai

Seconded: Cameron Gordon, Joan Birman

Authors

Ian Agol
Department of Mathematics University of Illinois at Chicago 322 SEO m/c 249 851 S. Morgan Street Chicago Illinois 60607-7045 USA
http://www.math.uic.edu/~agol/
Tao Li
Department of Mathematics 401 Math Sciences Oklahoma State University Stillwater Oklahoma 74078-1058 USA
http://www.math.okstate.edu/~tli/