Linking numbers for handlebody-links

Atsuhiko Mizusawa

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    As a generalization of the linking number, we construct a set of invariant numbers for two-component handlebody-links. These numbers are elementary divisors associated with the natural homomorphism from the first homology group of a component to that of the complement of another component.

    Original languageEnglish
    Pages (from-to)60-62
    Number of pages3
    JournalProceedings of the Japan Academy Series A: Mathematical Sciences
    Volume89
    Issue number4
    DOIs
    Publication statusPublished - 2013 Apr

    Fingerprint

    Handlebody
    Linking number
    Homology Groups
    Homomorphism
    Divisor
    Complement
    Invariant

    Keywords

    • Elementary divisor
    • Handlebody-knot
    • Handlebody-link
    • Linking number

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Linking numbers for handlebody-links. / Mizusawa, Atsuhiko.

    In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 89, No. 4, 04.2013, p. 60-62.

    Research output: Contribution to journalArticle

    @article{fd0016cc35fe45bf8aa418106ce6c14a,
    title = "Linking numbers for handlebody-links",
    abstract = "As a generalization of the linking number, we construct a set of invariant numbers for two-component handlebody-links. These numbers are elementary divisors associated with the natural homomorphism from the first homology group of a component to that of the complement of another component.",
    keywords = "Elementary divisor, Handlebody-knot, Handlebody-link, Linking number",
    author = "Atsuhiko Mizusawa",
    year = "2013",
    month = "4",
    doi = "10.3792/pjaa.89.60",
    language = "English",
    volume = "89",
    pages = "60--62",
    journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",
    issn = "0386-2194",
    publisher = "Japan Academy",
    number = "4",

    }

    TY - JOUR

    T1 - Linking numbers for handlebody-links

    AU - Mizusawa, Atsuhiko

    PY - 2013/4

    Y1 - 2013/4

    N2 - As a generalization of the linking number, we construct a set of invariant numbers for two-component handlebody-links. These numbers are elementary divisors associated with the natural homomorphism from the first homology group of a component to that of the complement of another component.

    AB - As a generalization of the linking number, we construct a set of invariant numbers for two-component handlebody-links. These numbers are elementary divisors associated with the natural homomorphism from the first homology group of a component to that of the complement of another component.

    KW - Elementary divisor

    KW - Handlebody-knot

    KW - Handlebody-link

    KW - Linking number

    UR - http://www.scopus.com/inward/record.url?scp=84879307619&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84879307619&partnerID=8YFLogxK

    U2 - 10.3792/pjaa.89.60

    DO - 10.3792/pjaa.89.60

    M3 - Article

    VL - 89

    SP - 60

    EP - 62

    JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

    JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

    SN - 0386-2194

    IS - 4

    ER -