Twisted cohomology pairings of knots I; diagrammatic computation

Takefumi Nosaka

Research output: Contribution to journalArticle

1 Citation (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

Fingerprint

Bilinear form
Pairing
Knot
Cohomology
Cup Product
Homology
Corollary
Module
Coefficient
Class

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Twisted cohomology pairings of knots I; diagrammatic computation. / Nosaka, Takefumi.

In: Geometriae Dedicata, Vol. 189, No. 1, 01.08.2017, p. 139-160.

Research output: Contribution to journalArticle

Nosaka, Takefumi. / Twisted cohomology pairings of knots I; diagrammatic computation. In: Geometriae Dedicata. 2017 ; Vol. 189, No. 1. pp. 139-160.
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