Logarithmic knot invariants arising from restricted quantum groups

Jun Murakami, Kiyokazu Nagatomo

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    We construct knot invariants from the radical part of projective modules of the restricted quantum group {U}}̄q(sl2 at q = exp( π √{-1}/p), and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.

    Original languageEnglish
    Pages (from-to)1203-1213
    Number of pages11
    JournalInternational Journal of Mathematics
    Volume19
    Issue number10
    DOIs
    Publication statusPublished - 2008 Nov

    Fingerprint

    Knot Invariants
    Projective Module
    Quantum Groups
    Logarithmic
    Invariant
    Conformal Field Theory

    Keywords

    • Invariants of knots and links
    • Restricted quantum group

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Logarithmic knot invariants arising from restricted quantum groups. / Murakami, Jun; Nagatomo, Kiyokazu.

    In: International Journal of Mathematics, Vol. 19, No. 10, 11.2008, p. 1203-1213.

    Research output: Contribution to journalArticle

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