Criteria for virtual fibering

Abstract

We prove that an irreducible 3-manifold whose fundamental group satisfies a certain group-theoretic property called RFRS is virtually fibered. As a corollary, we show that 3-dimensional reflection orbifolds and arithmetic hyperbolic orbifolds defined by a quadratic form virtually fiber. These include the Seifert Weber dodecahedral space and the Bianchi orbifolds. Moreover, we show that a taut sutured compression body has a finite-sheeted cover with a depth one taut-oriented foliation.

17 pages, 3 figures; new theorem 7.2; to appear in Journal of Topology

References in corpus (4)

• Virtual betti numbers of symmetric spaces
• Noncoherence of some lattices in Isom(Hn)
• The asymptotic behaviour of Heegaard genus
• Knots with unique minimal genus Seifert surface and depth of knots

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