Twisted cohomology pairings of knots I; diagrammatic computation

Takefumi Nosaka

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抄録

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.

元の言語英語
ページ(範囲)139-160
ページ数22
ジャーナルGeometriae Dedicata
189
発行部数1
DOI
出版物ステータス出版済み - 8 1 2017

Fingerprint

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

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

これを引用

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

:: Geometriae Dedicata, 巻 189, 番号 1, 01.08.2017, p. 139-160.

研究成果: ジャーナルへの寄稿記事

Nosaka, Takefumi. / Twisted cohomology pairings of knots I; diagrammatic computation. :: Geometriae Dedicata. 2017 ; 巻 189, 番号 1. pp. 139-160.
@article{cf5fa9ba31d5409aa7149795f6661aef,
title = "Twisted cohomology pairings of knots I; diagrammatic computation",
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.",
author = "Takefumi Nosaka",
year = "2017",
month = "8",
day = "1",
doi = "10.1007/s10711-017-0221-5",
language = "English",
volume = "189",
pages = "139--160",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",

}

TY - JOUR

T1 - Twisted cohomology pairings of knots I; diagrammatic computation

AU - Nosaka, Takefumi

PY - 2017/8/1

Y1 - 2017/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85011685362&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85011685362&partnerID=8YFLogxK

U2 - 10.1007/s10711-017-0221-5

DO - 10.1007/s10711-017-0221-5

M3 - Article

AN - SCOPUS:85011685362

VL - 189

SP - 139

EP - 160

JO - Geometriae Dedicata

JF - Geometriae Dedicata

SN - 0046-5755

IS - 1

ER -