Potential Function, A-Polynomial and Reidemeister Torsion of Hyperbolic Links

Jun Murakami*, Anh T. Tran

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose conjectural methods to get the A-polynomial and the twisted Reidemeinster torsion from the colored Jones invariant of knots and links. For some families of knots and links, it is checked that our methods work well by comparing with these invariants computed from PSL(2,C) representations of the fundamental groups of the knot/link complements.

Original languageEnglish
Title of host publicationLow Dimensional Topology and Number Theory, 2022. In Memory of Professor Toshie Takata
EditorsMasanori Morishita, Hiroaki Nakamura, Jun Ueki
PublisherSpringer
Pages211-235
Number of pages25
ISBN (Print)9789819737772
DOIs
Publication statusPublished - 2025
Event13th International Workshop on Low Dimensional Topology and Number Theory, LDT and NT 2022 - Fukuoka, Japan
Duration: 2022 Mar 152022 Mar 18

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume456
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference13th International Workshop on Low Dimensional Topology and Number Theory, LDT and NT 2022
Country/TerritoryJapan
CityFukuoka
Period22/3/1522/3/18

Keywords

  • A-polynomial
  • Hyperbolic link
  • Reidemeister torsion

ASJC Scopus subject areas

  • General Mathematics

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