Meridional destabilizing number of knots

Toshio Saito

doi:10.2140/agt.2011.11.1205

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Home > Journals > Algebr. Geom. Topol. > Volume 11 > Issue 2 > Article

2011 Meridional destabilizing number of knots

Toshio Saito

Algebr. Geom. Topol. 11(2): 1205-1242 (2011). DOI: 10.2140/agt.2011.11.1205

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Abstract

We define the meridional destabilizing number of a knot. This together with Heegaard genus (or tunnel number) gives a binary complexity of knots. We study its behavior under connected sum of tunnel number one knots.