Cosmetic Crossings of Twisted Knots
نویسنده
چکیده
We prove that the property of admitting no cosmetic crossing changes is preserved under the operation of inserting full twists in the strings of closed braids and the operation of forming certain satellites of winding number zero. As a consequences of the main results, we prove the nugatory crossing conjecture for twisted fibered braids, for closed 3-braids and for Whitehead doubles of prime non-cable knots.
منابع مشابه
Knots without Cosmetic Crossings
Let K′ be a knot that admits no cosmetic crossing changes and let C be a 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.
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تاریخ انتشار 2013