Squeezed knots

(Joint work with Peter Feller and Lukas Lewark). A knot is called squeezed if it is a slice of a minimal genus, oriented, connected cobordism from a positive to a negative torus knot. Many popular classes of knots are squeezed. At most six knots of ten or fewer crossings are not squeezed. The Lipshitz-Sarkar stable homotopy type for Khovanov homology provides a (surprisingly?) effective means of obstructing knots from being squeezed. I'll explain all this and also advertize a cash prize of 271 swiss francs.