Abstract
We prove that many four-strand pretzel knots of the form [Formula: see text] are not topologically slice, even though their positive mutants [Formula: see text] are ribbon. We use the sliceness obstruction of Kirk and Livingston [Twisted Alexander invariants, Reidemeister torsion, and Casson–Gordon invariants, Topology 38 (1999) 635–661], related to the twisted Alexander polynomials associated to prime power cyclic covers of knots.
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