Some limits of the colored alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds

Jinseok Cho, Jun Murakami

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We calculate certain limits of the colored Alexander invariant of the figure-eight knot for some cases and show that this limit is related to the volume of hyperbolic orbifolds whose singular set is the figure-eight knot.

Original languageEnglish
Pages (from-to)1271-1286
Number of pages16
JournalJournal of Knot Theory and its Ramifications
Volume18
Issue number9
DOIs
Publication statusPublished - 2009 Sep 1

Keywords

  • Colored Alexander invariant
  • Figure-eight knot
  • Volume conjecture
  • Volume of hyperbolic orbifold

ASJC Scopus subject areas

  • Algebra and Number Theory

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