Twisted Alexander polynomials of torus links

Teruaki Kitano; Takayuki Morifuji; Anh T. Tran

doi:10.1142/S0218216520500169

Twisted Alexander polynomials of torus links

Teruaki Kitano, Takayuki Morifuji, Anh T. Tran

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the SL(2, C)-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.

Original language	English
Article number	2050016
Journal	Journal of Knot Theory and its Ramifications
Volume	29
Issue number	4
DOIs	https://doi.org/10.1142/S0218216520500169
Publication status	Published - 2020 Apr 1

Keywords

Character variety
torus link
twisted Alexander polynomial

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S0218216520500169

Cite this

@article{11de8dd79d1e4be18b4f7e276557a870,

title = "Twisted Alexander polynomials of torus links",

abstract = "In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the SL(2, C)-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.",

keywords = "Character variety, torus link, twisted Alexander polynomial",

author = "Teruaki Kitano and Takayuki Morifuji and Tran, {Anh T.}",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = apr,

day = "1",

doi = "10.1142/S0218216520500169",

language = "English",

volume = "29",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - Twisted Alexander polynomials of torus links

AU - Kitano, Teruaki

AU - Morifuji, Takayuki

AU - Tran, Anh T.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the SL(2, C)-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.

AB - In this paper, we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the SL(2, C)-character variety. We also discuss similar things for the higher-dimensional twisted Alexander polynomial and the Reidemeister torsion.

KW - Character variety

KW - torus link

KW - twisted Alexander polynomial

UR - http://www.scopus.com/inward/record.url?scp=85082178920&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85082178920&partnerID=8YFLogxK

U2 - 10.1142/S0218216520500169

DO - 10.1142/S0218216520500169

M3 - Article

AN - SCOPUS:85082178920

SN - 0218-2165

VL - 29

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 4

M1 - 2050016

ER -

Twisted Alexander polynomials of torus links

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this