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Virtually fibered Montesinos links
Author(s) -
Agol Ian,
Boyer Steven,
Zhang Xingru
Publication year - 2008
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtn030
Subject(s) - fibered knot , mathematics , pure mathematics , homology (biology) , property (philosophy) , combinatorics , biology , philosophy , biochemistry , epistemology , gene
We prove that all generalized Montesinos links in S 3 which are not classicS L ˜ 2 ‐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 typeS L ˜ 2 . As a byproduct we find the first family of infinitely many virtually fibred hyperbolic rational homology 3 ‐spheres.
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