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Cosmetic crossing changes of fibered knots

Efstratia Kalfagianni
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Abstract

We prove the nugatory crossing conjecture for fibered knots. We also show that if a knot $K$ is $n$-adjacent to a fibered knot $K'$, for some $n>1$, then either the genus of $K$ is larger than that of $K'$ or $K$ is isotopic to $K'$.

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Efstratia Kalfagianni. 2011-02-01. Cosmetic crossing changes of fibered knots. https://arxiv.org/abs/math/0610440

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