Ana Garcia Lecuona:
On the slice-ribbon conjecture for Montesinos knots
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Abstract:
The slice-ribbon conjecture states that a knot in $S^3=partial B^4$ is the
boundary of an embedded disc in $B^4$ 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.