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Moscow Mathematical Journal, 2017, Volume 17, Number 1, Pages 59–77
DOI: https://doi.org/10.17323/1609-4514-2017-17-1-59-77 (Mi mmj626) 		 
This article is cited in 16 scientific papers (total in 16 papers)

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

Stefan Friedla, Mark Powellb

a Fakultät für Mathematik, Universität Regensburg, Germany
b Département de Mathématiques, Université du Québec à Montréal, QC, Canada
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DOI: https://doi.org/10.17323/1609-4514-2017-17-1-59-77
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.
Funding agency Grant number
Deutsche Forschungsgemeinschaft SFB 1085
Natural Sciences and Engineering Research Council of Canada (NSERC)
The first named author was supported by the SFB 1085 “Higher invariants” funded by the DFG. The second named author is supported by an NSERC Discovery Grant.
Received: March 21, 2016
Bibliographic databases:
Document Type: Article
MSC: 57M25, 57M27
Language: English
Citation: Stefan Friedl, Mark Powell, “A calculation of Blanchfield pairings of $3$-manifolds and knots”, Mosc. Math. J., 17:1 (2017), 59–77
Citation in format AMSBIB
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\by Stefan~Friedl, Mark~Powell
\paper A calculation of Blanchfield pairings of $3$-manifolds and knots
\jour Mosc. Math.~J.
\yr 2017
\vol 17
\issue 1
\pages 59--77
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\crossref{https://doi.org/10.17323/1609-4514-2017-17-1-59-77}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3634521}
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    • This publication is cited in the following 16 articles:
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