ON ALEXANDER MODULES AND BLANCHFIELD FORMS OF NULL-HOMOLOGOUS KNOTS IN RATIONAL HOMOLOGY SPHERES
2012 ◽
Vol 21
(05)
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pp. 1250042
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In this paper, we give a classification of Alexander modules of null-homologous knots in rational homology spheres. We characterize these modules [Formula: see text] equipped with their Blanchfield forms ϕ, and the modules [Formula: see text] such that there is a unique isomorphism class of [Formula: see text], and we prove that for the other modules [Formula: see text], there are infinitely many such classes. We realize all these [Formula: see text] by explicit knots in ℚ-spheres.
2012 ◽
Vol 33
(4)
◽
pp. 1199-1220
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Keyword(s):
1997 ◽
Vol 6
(1)
◽
pp. 57-62
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Keyword(s):
Keyword(s):
1985 ◽
Vol 51
(1)
◽
pp. 59-74
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Keyword(s):
Keyword(s):