Virtually fibered Montesinos links

Ian Agol; Steven Boyer; Xingru Zhang

doi:10.1112/jtopol/jtn030

Virtually fibered Montesinos links

Ian Agol
, Steven Boyer
, Xingru Zhang

Mathematics

University of California at Berkeley
Université du Québec à Montréal

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We prove that all generalized Montesinos links in S³ which are not classic (Formula presented.) -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 presented.). As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3-spheres.

Original language	English
Pages (from-to)	993-1018
Number of pages	26
Journal	Journal of Topology
Volume	1
Issue number	4
DOIs	https://doi.org/10.1112/jtopol/jtn030
State	Published - Oct 2008

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title = "Virtually fibered Montesinos links",

abstract = "We prove that all generalized Montesinos links in S3 which are not classic (Formula presented.) -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 presented.). As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3-spheres.",

author = "Ian Agol and Steven Boyer and Xingru Zhang",

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AU - Boyer, Steven

AU - Zhang, Xingru

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AB - We prove that all generalized Montesinos links in S3 which are not classic (Formula presented.) -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 presented.). As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3-spheres.

UR - https://www.scopus.com/pages/publications/74849089858

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DO - 10.1112/jtopol/jtn030

M3 - Article

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Virtually fibered Montesinos links

Abstract

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