Twisted cohomology pairings of knots I; diagrammatic computation

Takefumi Nosaka

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume189
Issue number1
DOIs
Publication statusPublished - Aug 1 2017

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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