Higher-order linking forms for knots

• Autores: Constance Leidy
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 4, 2006, págs. 755-781
• Idioma: inglés
• DOI: 10.4171/cmh/72
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• Resumen

  • We construct examples of knots that have isomorphic $n$th-order Alexander modules, but non-isomorphic $n$th-order linking forms, showing that the linking forms provide more information than the modules alone. This generalizes work of Trotter [T], who found examples of knots that have isomorphic classical Alexander modules, but non-isomorphic classical Blanchfield linking forms.