Pacific Journal of Mathematics Vol. 231, No. 2, 2007

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On the geometric and the algebraic rank of graph manifolds

Jennifer Schultens and Richard Weidman

Vol. 231 (2007), No. 2, 481–510

Abstract

For any n in 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

Primary: 54C40, 14E20

Secondary: 46E25, 20C20

Milestones

Received: 11 October 2005
Accepted: 26 April 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 Weidman
Department of Mathematics Heriot-Watt University Riccarton Edinburgh EH14 4AS Scotland, UK
http://www.ma.hw.ac.uk/~richardw/