%0 Journal Article %T Knots without cosmetic crossings %A Cheryl Jaeger Balm %A Efstratia Kalfagianni %J Mathematics %D 2014 %I arXiv %X Let K' be a knot that admits no cosmetic crossing changes and let C be a non-trivial, prime, non-cable knot. Then any knot that is a satellite of C with winding number zero and pattern K' admits no cosmetic crossing changes. As a consequence we prove the nugatory crossing conjecture for Whitehead doubles of prime, non-cable knots. %U http://arxiv.org/abs/1406.1755v1