The complex volumes of twist knots

Jinseok Cho, Jun Murakami, Yoshiyuki Yokota

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    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

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    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

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