Geometry & Topology, Vol. 7 (2003) Paper no. 8, pages 287--309.

An algorithm to detect laminar 3-manifolds

Ian Agol, Tao Li

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

AMS subject classification. Primary: 57M50. Secondary: 57M25.

DOI: 10.2140/gt.2003.7.287

E-print: arXiv:math.GT/0201310

Submitted to GT on 13 February 2002. (Revised 18 March 2003.) Paper accepted 24 April 2003. Paper published 27 April 2003.

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Ian Agol, Tao Li

Department of Mathematics, University of Illinois at Chicago
322 SEO m/c 249, 851 S. Morgan Street
Chicago, IL 60607-7045, USA

Department of Mathematics, 401 Math Sciences
Oklahoma State University
Stillwater, OK 74078-1058, USA

Email: agol@math.uic.edu, tli@math.okstate.edu

URL: http://www.math.uic.edu/~agol, http://www.math.okstate.edu/~tli/

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