Genera and fibredness of Montesinos knots

• Autores: Mikami Hirasawa, K. Murasugi
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 225, Nº 1, 2006, págs. 53-84
• Idioma: inglés
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• Resumen

  • For Montesinos knots, we explicitly construct Seifert surfaces of minimal genus and solve the question of when they are fibred knots. For those of tunnel number one, we show that they are mostly fibred if their Alexander polynomials (of proper degrees) are monic.