Distinguishing mutant pretzel knots in concordance

2015/02/17 by Miller, Allison N.
#57M25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1502.05077

Abstract

We prove that many pretzel knots of the form P(2n,m,-2n±1,-m) are not topologically slice, even though their positive mutants P(2n, -2n±1, m, -m) are ribbon. We use the sliceness obstruction of Kirk and Livingston related to the twisted Alexander polynomials associated to prime power cyclic covers of knots.

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