Geodesic
The co-rank conjecture for 3–manifold groups
Leininger, Christopher J1 ; Reid, Alan W1
1Department of Mathematics, University of Texas at Austin, Austin TX 78712-1082, USA
Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 37-50
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In this paper we construct explicit examples of both closed and non-compact finite volume hyperbolic manifolds which provide counterexamples to the conjecture that the co-rank of a 3–manifold group (also known as the cut number) is bounded below by one-third the first Betti number.

DOI : 10.2140/agt.2002.2.37
Keywords: 3–manifolds, co-rank, pseudo-Anosov

Leininger, Christopher J  1   ; Reid, Alan W  1

1 Department of Mathematics, University of Texas at Austin, Austin TX 78712-1082, USA 
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Leininger, Christopher J; Reid, Alan W. The co-rank conjecture for 3–manifold groups. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 37-50. doi: 10.2140/agt.2002.2.37

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