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

    Fingerprint

    Twist
    Knot
    Complement
    Hyperbolic Volume
    Hyperbolic Knot

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    The complex volumes of twist knots. / Cho, Jinseok; Murakami, Jun; Yokota, Yoshiyuki.

    In: Proceedings of the American Mathematical Society, Vol. 137, No. 10, 10.2009, p. 3533-3541.

    Research output: Contribution to journalArticle

    Cho, Jinseok ; Murakami, Jun ; Yokota, Yoshiyuki. / The complex volumes of twist knots. In: Proceedings of the American Mathematical Society. 2009 ; Vol. 137, No. 10. pp. 3533-3541.
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