Stefan Friedl, Mark Powell, “A calculation of Blanchfield pairings of <nobr>$3$</nobr>-manifolds and knots”, Mosc. Math. J., 2017, Volume 17, Number 1,Pages <nobr>59

This article is cited in 16 papers

A calculation of Blanchfield pairings of $3$-manifolds and knots

Stefan Friedl^a, Mark Powell^b

^a Fakultät für Mathematik, Universität Regensburg, Germany
^b Département de Mathématiques, Université du Québec à Montréal, QC, Canada

Abstract: We calculate Blanchfield pairings of $3$-manifolds. In particular, we give a formula for the Blanchfield pairing of a fibred $3$-manifold and we give a new proof that the Blanchfield pairing of a knot can be expressed in terms of a Seifert matrix.

Key words and phrases: Blanchfield pairing, $3$-manifold, Seifert form.

MSC: 57M25, 57M27

Received: March 21, 2016

Language: English

DOI: 10.17323/1609-4514-2017-17-1-59-77