Name  Toshio Saito 

Affiliation  Joetsu University of Education 
Talk type  Session 
Time  Jan 11 13:00~13:40 
Location  E11103 
Title  Meridional destabilizing number and connected sums of knots 
Abstract 
From a viewpoint of Heegaard theory, we have two types of natural positions of knots in closed orientable 3manifolds: 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.

Slide  103111/2012KAIST.pdf 