Some examples related to knot sliceness

• Autores: Alexander Stoimenow
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 210, Nº 1, 2007, págs. 161-175
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2006.09.003
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• Resumen

  • It is known that the linking form on the 2-cover of slice knots has a metabolizer. We show that several weaker conditions, or some other conditions related to sliceness, do not imply the existence of a metabolizer. We then show how the Rudolph¿Bennequin inequality can be used indirectly to prove that some knots are not slice.