A calculation of Blanchfield pairings of 3-manifolds and knots
Stefan Friedl, Mark Powell
TL;DR
This paper provides formulas for calculating Blanchfield pairings of 3-manifolds, including fibred cases, and offers a new proof relating knot Blanchfield pairings to Seifert matrices.
Contribution
It introduces a formula for Blanchfield pairings of fibred 3-manifolds and offers a novel proof connecting knot pairings to Seifert matrices.
Findings
Derived a formula for Blanchfield pairings of fibred 3-manifolds
Provided a new proof expressing knot Blanchfield pairing via Seifert matrix
Enhanced understanding of algebraic invariants in 3-manifold topology
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.
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