Criteria for virtual fibering

Ian Agol

doi:10.1112/jtopol/jtn003

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arXiv · 0707.4522

Criteria for virtual fibering

Ian Agol

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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.

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Ian Agol. 2008-02-24. Criteria for virtual fibering. https://doi.org/10.1112/jtopol%2Fjtn003

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