On the slice-ribbon conjecture for Montesinos knots

Geometry Topology Seminar
Monday, September 19, 2011 - 14:00
1 hour (actually 50 minutes)
Skiles 005
Penn State University
The slice-ribbon conjecture states that a knot in $S^3=partial D^4$ is the boundary of an embedded disc in $D^4$ if and only if it bounds a disc in $S^3$ which has only ribbon singularities. In this seminar we will prove the conjecture for a family of Montesinos knots. The proof is based on Donaldson's diagonalization theorem for definite four manifolds.