The Blanchfield pairing of colored links
Anthony Conway, Stefan Friedl, Enrico Toffoli
TL;DR
This paper extends the computation of the Blanchfield pairing from knots to colored links with non-zero Alexander polynomial, using generalized Seifert matrices derived from C-complexes.
Contribution
It introduces a method to compute the Blanchfield pairing of colored links via generalized Seifert matrices from C-complexes, broadening the knot theory toolkit.
Findings
Blanchfield pairing expressed using generalized Seifert matrices
Applicable to colored links with non-zero Alexander polynomial
Provides explicit computational framework
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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