Strong band sum and dichromatic invariants

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Abstract

Strong band sum is a natural construction from links to dichromatic links. We compute Hoste and Kidwell's dichromatic link invariant of a strong band sum in terms of monochromatic invariants of the data (original link, band). It turns out that the two-variable Conway polynomial of a strong fusion only depends on the monochromatic Conway polynomial of the original link. In particular, it does not depend on the band. Cochran's series of concordance invariants is discussed in this framework.

Original languageEnglish
Pages (from-to)237-251
Number of pages15
JournalManuscripta Mathematica
Volume74
Issue number1
DOIs
StatePublished - Dec 1992

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