AN ALGEBRAIC LINK CONCORDANCE GROUP FOR (p,2p-l)-LINKS IN S?* by PAT GILMER and CHARLES LIVINGSTON
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چکیده
A concordance classification of links of S"US" cS, p>\, is given in terms of an algebraically defined group, ±, which is closely related to Levine's algebraic knot concordance group. For p=l, _ captures certain obstructions to two component links in S being concordant to boundary links, the generalized Sato-Levine invariants defined by Cochran. As a result, purely algebraic proofs of properties of these invariants are derived.
منابع مشابه
KNOTS WHICH ARE NOT CONCORDANT TO THEIR REVERSES By CHARLES LIVINGSTON
IF K is an oriented knot in S, the reverse of K, K*, is the knot K with its orientation reversed. (This has traditionally been called the inverse of K. We call it the reverse to distinguish it from the inverse to K in the knot concordance group, denoted by -K and represented by the mirror image of K with orientation reversed.) Fox [3] asked for an example of a knot which is not isotopic to its ...
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