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Ribbonness of a Stable-Ribbon Surface-Link, II: General Case

Author

Listed:
  • Akio Kawauchi

    (Osaka Central Advanced Mathematical Institute, Osaka Metropolitan University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan)

Abstract

It is shown that any handle-irreducible summand of every stable-ribbon surface-link is a unique ribbon surface-link up to equivalences so that every stable-ribbon surface-link is a ribbon surface-link. This is a generalization of a previously observed result for a stably trivial surface-link. Two observations are given. One observation is that a connected sum of two surface-links is a ribbon surface-link if and only if both the connected summands are ribbon surface-links. The other observation is a characterization of when a surface-link consisting of ribbon surface-knot components becomes a ribbon surface-link.

Suggested Citation

  • Akio Kawauchi, 2025. "Ribbonness of a Stable-Ribbon Surface-Link, II: General Case," Mathematics, MDPI, vol. 13(3), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:402-:d:1577046
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