The complex volumes of twist knots

Jinseok Cho, Jun Murakami, Yoshiyuki Yokota

    研究成果: Article

    11 引用 (Scopus)

    抄録

    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.

    元の言語English
    ページ(範囲)3533-3541
    ページ数9
    ジャーナルProceedings of the American Mathematical Society
    137
    発行部数10
    DOI
    出版物ステータスPublished - 2009 10

    Fingerprint

    Twist
    Knot
    Complement
    Hyperbolic Volume
    Hyperbolic Knot

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    これを引用

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

    :: Proceedings of the American Mathematical Society, 巻 137, 番号 10, 10.2009, p. 3533-3541.

    研究成果: Article

    Cho, Jinseok ; Murakami, Jun ; Yokota, Yoshiyuki. / The complex volumes of twist knots. :: Proceedings of the American Mathematical Society. 2009 ; 巻 137, 番号 10. pp. 3533-3541.
    @article{4d525882bf6c4e9db81ce9a5610d4a62,
    title = "The complex volumes of twist knots",
    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.",
    author = "Jinseok Cho and Jun Murakami and Yoshiyuki Yokota",
    year = "2009",
    month = "10",
    doi = "10.1090/S0002-9939-09-09906-7",
    language = "English",
    volume = "137",
    pages = "3533--3541",
    journal = "Proceedings of the American Mathematical Society",
    issn = "0002-9939",
    publisher = "American Mathematical Society",
    number = "10",

    }

    TY - JOUR

    T1 - The complex volumes of twist knots

    AU - Cho, Jinseok

    AU - Murakami, Jun

    AU - Yokota, Yoshiyuki

    PY - 2009/10

    Y1 - 2009/10

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=77951028144&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77951028144&partnerID=8YFLogxK

    U2 - 10.1090/S0002-9939-09-09906-7

    DO - 10.1090/S0002-9939-09-09906-7

    M3 - Article

    AN - SCOPUS:77951028144

    VL - 137

    SP - 3533

    EP - 3541

    JO - Proceedings of the American Mathematical Society

    JF - Proceedings of the American Mathematical Society

    SN - 0002-9939

    IS - 10

    ER -