|Affiliation||Joetsu University of Education|
|Time||Jan 11 13:00~13:40|
|Title||Meridional destabilizing number and connected sums of knots|
From a viewpoint of Heegaard theory, we have two types of natural positions of knots in closed orientable 3-manifolds: a bridge position with respect to a Heegaard surface, and a core position of a handlebody bounded by a Heegaard surface. The latter has a close connection to Heegaard genus (or tunnel number) of knots. Meridional destabilizing number, which is defined by considering such two positions, will be introduced in this talk. We could say this together with Heegaard genus gives a binary complexity of knots. We will then discuss its behavior for composite knots.