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Cosmetic \(n\)-tangle replacements on fibered knots

By Carson Rogers
Let \(K\) be a knot in a rational homology sphere \(M\). This paper investigates the question of when replacing a trivial two-string tangle in \(K\) with an \(n\)-tangle produces a knot isotopic to \(K\). By our definition, this operation is a generalized crossing change when \(n\) is even, and an... Show more
March 10, 2020
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Cosmetic $n$-tangle replacements on fibered knots
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