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arxiv: 1301.6369 · v5 · pith:LSEFEZGCnew · submitted 2013-01-27 · 🧮 math.GT

Cosmetic crossings of twisted knots

classification 🧮 math.GT
keywords cosmeticchangescrossingoperationunderadmittingbehaviorbraids
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We prove that the property of admitting no cosmetic crossing changes is preserved under the operation of forming certain satellites of winding number zero. We also define strongly cosmetic crossing changes and we discuss their behavior under the operation of inserting full twists in the strings of closed braids.

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