Cosmetic crossing changes of fibered knots
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'.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.