The Blanchfield pairing of colored links

Anthony Conway; Stefan Friedl; Enrico Toffoli

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arXiv · 1609.08057

The Blanchfield pairing of colored links

Anthony Conway·Stefan Friedl·Enrico Toffoli

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Abstract

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.

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Anthony Conway, Stefan Friedl, Enrico Toffoli. 2016-09-26. The Blanchfield pairing of colored links. https://arxiv.org/abs/1609.08057

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