Cluster variables, ancestral triangles and Alexander polynomials

Wataru Nagai, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we show that Alexander polynomials for any 2-bridge knots are specializations of cluster variables. A key tool is an ancestral triangle which appeared in both quantum topology and hyperbolic geometry in different ways.

Original languageEnglish
Article number106965
JournalAdvances in Mathematics
Volume363
DOIs
Publication statusPublished - 2020 Mar 25

Keywords

  • Alexander polynomial
  • Cluster algebras
  • Knot theory
  • Quiver mutation

ASJC Scopus subject areas

  • Mathematics(all)

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