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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

Primary: 57M50

Secondary: 57M25
References
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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/