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Journal of Topology 2008 1(4):993-1018; doi:10.1112/jtopol/jtn030
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© 2008 London Mathematical Society

Virtually fibered Montesinos links

Ian Agol

Department of Mathematics, University of California, Berkeley, Berkeley, CA 94720-3840, USA ianagol@math.berkeley.edu

Steven Boyer

Département de Mathématiques, Université du Québec à Montréal, P. O. Box 8888, Centre-ville, Montréal, Québec, H3C 3P8, Canada boyer@math.uqam.ca

Xingru Zhang

Department of Mathematics, University at Buffalo, Buffalo, NY 14260-2900, USA xinzhang@math.buffalo.edu


  Abstract

We prove that all generalized Montesinos links in S3 which are not classic Formula -type are virtually fibred except the trivial link of two components. We also prove the virtually fibred property for a family of infinitely many classic Montesinos links of type Formula . As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3-spheres.

Received January 31, 2008.

2000 Mathematics Subject Classification 57M25, 57N10

The first author was partially supported by NSF grant DMS-0504975 and the Guggenheim foundation. The second author was partially supported by NSERC grant OGP0009446. The third author was partially supported by NSF grant DMS 0204428.


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