The co-rank conjecture for 3-manifold groups

Details The co-rank conjecture for 3-manifold groups The co-rank conjecture for 3-manifold groups

2002-02-25

arxiv.org/abs/math/0202261v1

Algebr. Geom. Topol. 2 (2002) 37-50

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-4.abs.html

Scientific paper

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.

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