Moscow Mathematical Journal

Volume 17, Issue 1, January–March 2017 pp. 59–77.

A Calculation of Blanchfield Pairings of 3-Manifolds and Knots

Authors: Stefan Friedl (1) and Mark Powell (2)
Author institution:(1) Fakultät für Mathematik, Universität Regensburg, Germany
(2) Département de Mathématiques, Université du Québec à Montréal, QC, Canada

Summary:

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.

2010 Math. Subj. Class. 57M25, 57M27.

Keywords: Blanchfield pairing, 3-manifold, Seifert form.

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