Vol. 231, No. 2, 2007

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ISSN: 0030-8730
On the geometric and the algebraic rank of graph manifolds

Jennifer Schultens and Richard Weidmann

Vol. 231 (2007), No. 2, 481–510
Abstract

For any n we construct graph manifolds of genus 4n whose fundamental group is 3n-generated.

Keywords
3-manifolds, rank, Heegaard genus, graph manifold
Mathematical Subject Classification 2000
Primary: 54C40, 14E20
Secondary: 46E25, 20C20
Milestones
Received: 11 October 2005
Accepted: 26 April 2007
Published: 1 June 2007
Authors
Jennifer Schultens
Department of Mathematics
1 Shields Ave
University of California
Davis, CA 95616
United States
http://www.math.ucdavis.edu/~jcs/
Richard Weidmann
Department of Mathematics
Heriot-Watt University
Riccarton
Edinburgh EH14 4AS
Scotland, UK
http://www.ma.hw.ac.uk/~richardw/