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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 \(\textrm{PSL}(2, \mathbb {C})\) representations of the fundamental groups of the knot/link complements.

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

  • 会议论文

  • 发表日期：

    2025年

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  • Jun Murakami,
  • Anh T. Tran

摘要

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 \(\textrm{PSL}(2, \mathbb {C})\) representations of the fundamental groups of the knot/link complements.