The Alexander module of a knotted theta-curve
1989 ◽
Vol 106
(1)
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pp. 95-106
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Let K be a knotted theta-curve with exterior X, and let ∂_X be one of the two pieces into which ∂X is divided by the meridians of the edges of K. Let X be the universal abelian cover of X. Then is a module over the group ring of H1(X); i.e. over . We call this the Alexander module of K, and denote it by A(K). This, rather than H1(X), seems to be the analogue of the Alexander module of a classical knot; it is a torsion module of deficiency 0. Moreover, it is not an invariant of X alone.
2015 ◽
Vol 11
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pp. 1233-1257
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2010 ◽
Vol 214
(9)
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pp. 1592-1597
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2016 ◽
Vol 191
(4)
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pp. 648-650
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2001 ◽
Vol 131
(3)
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pp. 459-472
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1977 ◽
Vol 17
(1)
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pp. 53-89
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