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G&T Monographs |
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On the virtual Betti numbers of arithmetic hyperbolic
3–manifolds
Daryl Cooper, Darren Long and Alan W Reid
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Geometry & Topology 11 (2007)
2265–2276
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Abstract
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We show that closed arithmetic hyperbolic 3–manifolds with virtually positive first
Betti number have infinite virtual first Betti number. As a consequence, such
manifolds have large fundamental group.
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Keywords
virtual Betti number, large fundamental
group
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Mathematical Subject Classification
Primary: 57M10
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Publication
Received: 13 December 2006
Accepted: 5 September 2007
Published: 17 December 2007
Proposed: Dave Gabai
Seconded: Martin Bridson, Walter Neumann
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