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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

Mathematical Citation Quotient (MCQ) 2018: 0.71

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Volume 27, Issue 5


The average signature of graph links

Maciej Borodzik / Jadwiga Sosnowska
Published Online: 2013-12-13 | DOI: https://doi.org/10.1515/forum-2013-0075


We compute the average Tristram–Levine signature of any graph link with positive weights in a three sphere. The main tools are Neumann's algorithm for computing the equivariant signatures of graph links and the Reciprocity Law for Dedekind sums.

Keywords: Tristram–Levine signatures; Dedekind sums; M-number; average signature; graph link

MSC: 57M25

About the article

Received: 2013-05-14

Revised: 2013-08-09

Published Online: 2013-12-13

Published in Print: 2015-09-01

Funding Source: Polish OPUS

Award identifier / Grant number: 2012/05/B/ST1/03195

Citation Information: Forum Mathematicum, Volume 27, Issue 5, Pages 2927–2956, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2013-0075.

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