• Title/Summary/Keyword: ribbon concordance

Search Result 1, Processing Time 0.015 seconds

AN ALTERNATIVE PROOF FOR THE MINIMALITY OF STRONGLY QUASI-POSITIVE FIBERED KNOTS IN THE RIBBON CONCORDANCE POSET

  • Keiji Tagami
    • Bulletin of the Korean Mathematical Society
    • /
    • v.61 no.3
    • /
    • pp.779-784
    • /
    • 2024
  • Baker proved that any strongly quasi-positive fibered knot is minimal with respect to the ribbon concordance among fibered knots in the three-sphere. By applying Rapaport's conjecture, which has been solved by Kochloukova, we can check that any strongly quasi-positive fibered knot is minimal with respect to the ribbon concordance among all knots in the three-sphere. In this short note, we give an alternative proof for the fact by utilizing the knot Floer homology.