Ribbon concordance of surface-knots via quandle cocycle invariants

• Autores: J. Scott Carter, Masahico Saito, Shin Satoh
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 80, Nº 1, 2006, págs. 131-147
• Idioma: inglés
• DOI: 10.1017/s1446788700011423
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• Resumen

  • We give necessary conditions of a surface-knot to be ribbon concordant to another, by introducing a new variant of the cocycle invariant of surface-knots in addition to using the invariant already known. We demonstrate that twist-spins of some torus knots are not ribbon concordant to their orientation reversed images.