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On the geometric and
the algebraic rank of graph manifolds
Jennifer Schultens and Richard Weidmann |
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Vol. 231 (2007), No. 2, 481–510
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Abstract |
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For any we construct graph manifolds of genus whose fundamental group is -generated. |
Keywords
3-manifolds, rank, Heegaard genus, graph manifold
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Mathematical Subject Classification 2000
Primary: 54C40, 14E20
Secondary: 46E25, 20C20
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Milestones
Received: 11 October 2005
Accepted: 26 April 2007
Published: 1 June 2007
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Authors |
| Jennifer Schultens | |
| Department of Mathematics 1 Shields Ave University of California Davis, CA 95616 United States |
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| http://www.math.ucdavis.edu/~jcs/ | |
| Richard Weidmann | |
| Department of Mathematics Heriot-Watt University Riccarton Edinburgh EH14 4AS Scotland, UK |
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| http://www.ma.hw.ac.uk/~richardw/ | |
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