The complex volumes of twist knots

Jinseok Cho, Jun Murakami, Yoshiyuki Yokota

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

For a given hyperbolic knot, the third author defined a function whose imaginary part gives the hyperbolic volume of the knot complement. We show that, for a twist knot, the function actually gives the complex volume of the knot complement using Zickert's and Neumann's theory of the extended Bloch groups and the complex volumes.

Original languageEnglish
Pages (from-to)3533-3541
Number of pages9
JournalProceedings of the American Mathematical Society
Volume137
Issue number10
DOIs
Publication statusPublished - 2009 Oct 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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