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arXiv:1609.08057 [math.GT]AbstractReferencesReviewsResources

The Blanchfield pairing of colored links

Anthony Conway, Stefan Friedl, Enrico Toffoli

Published 2016-09-26Version 1

It is well known that the Blanchfield pairing of a knot can be expressed using Seifert matrices. In this paper, we compute the Blanchfield pairing of a colored link with non-zero Alexander polynomial. More precisely, we show that the Blanchfield pairing of such a link can be written in terms of generalized Seifert matrices which arise from the use of C-complexes.

Comments: 24 pages, 7 figures
Categories: math.GT
Subjects: 57M25
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