2013/05/07 by Maciej Borodzik, Borodzik, Maciej, Jadwiga Sosnowska +1
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.1305.1531
22 pages, 12 figures. v2: minor changes in the exposition, two small computational mistakes corrected. To appear in Forum Mathematicum
arxiv created 2013/08/15 · arxiv updated 2013/08/16
We compute the average Tristram---Levine signature of any graph link with positive weights in a three sphere, generalizing the results of Kirby and Melvin. The main tools are the Neumann's algorithm for computing the equivariant signatures of graph links and the Reciprocity Law for Dedekind sums.