A note on cabled slice knots and reducible surgeries

Published 16 Jul 2015 in math.GT | (1507.04562v1)

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.

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Jeffrey Meier

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