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- W1964260179 abstract "Levine showed that the Conway polynomial of a link is a product of two factors: one is the Conway polynomial of a knot which is obtained from the link by banding together the components; and the other is determined by the [Formula: see text]-invariants of a string link with the link as its closure. We give another description of the latter factor: the determinant of a matrix whose entries are linking pairings in the infinite cyclic covering space of the knot complement, which take values in the quotient field of ℤ[t, t -1 ]. In addition, we give a relation between the Taylor expansion of a linking pairing around t = 1 and derivation on links which is invented by Cochran. In fact, the coefficients of the powers of t - 1 will be the linking numbers of certain derived links in S 3 . Therefore, the first non-vanishing coefficient of the Conway polynomial is determined by the linking numbers in S 3 . This generalizes a result of Hoste." @default.
- W1964260179 created "2016-06-24" @default.
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- W1964260179 date "2007-05-01" @default.
- W1964260179 modified "2023-09-24" @default.
- W1964260179 title "A FACTORIZATION OF THE CONWAY POLYNOMIAL AND COVERING LINKAGE INVARIANTS" @default.
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- W1964260179 doi "https://doi.org/10.1142/s0218216507005403" @default.
- W1964260179 hasPublicationYear "2007" @default.
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