Twisted cohomology pairings of knots I; diagrammatic computation

Takefumi Nosaka

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We provide a diagrammatic computation for the bilinear form, which is defined as the pairing between the (relative) cup products with every local coefficients and every integral homology 2-class of every link in the 3-sphere. As a corollary, we construct bilinear forms on the twisted Alexander modules of links.

Original languageEnglish
Pages (from-to)139-160
Number of pages22
JournalGeometriae Dedicata
Issue number1
Publication statusPublished - Aug 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


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