A note on cabled slice knots and reducible surgeries

Abstract

We consider the question of when a slice knot admits a reducible Dehn surgery. By analyzing the correction terms associated to such a surgery, we show that slice knots cannot admit surgeries with more than two summands. We also give a necessary Heegaard Floer theoretic condition for a positive cable of a knot to be slice.

6 pages

References in corpus (1)

• Bordered Heegaard Floer homology and the tau-invariant of cable knots