On the knot floer homology of a class of satellite knots

Yuanyuan Bao

    Research output: Contribution to journalArticle

    Abstract

    Knot Floer homology is an invariant for knots in the three-sphere for which the Euler characteristic is the AlexanderConway polynomial of the knot. The aim of this paper is to study this homology for a class of satellite knots, so as to see how a certain relation between the AlexanderConway polynomials of the satellite, companion and pattern is generalized on the level of the knot Floer homology. We also use our observations to study a classical geometric invariant, the Seifert genus, of our satellite knots.

    Original languageEnglish
    Article number1250030
    JournalJournal of Knot Theory and its Ramifications
    Volume21
    Issue number4
    DOIs
    Publication statusPublished - 2012 Apr 1

    Keywords

    • Knot Floer homology
    • Seifert genus
    • satellite knot

    ASJC Scopus subject areas

    • Algebra and Number Theory

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