The average genus of a 2-bridge knot is asymptotically linear

Moshe Cohen, SUNY New Paltz
Fine Hall 314

In-Person and Online Talk 

Experimental work by Dunfield suggests that the Seifert genus of a knot grows linearly with respect to the crossing number of the knot. In this article, we use a billiard table model for 2-bridge or rational knots to show that the average genus of a 2-bridge knot with crossing number c asymptotically approaches c/4+1/12.

This is joint work with Adam Lowrance.