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

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)

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