Knots without cosmetic crossings

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• 作者：Cheryl Jaeger Balm^a ; ^{balmcheryl@deanza.edu" class="auth_mail" title="E-mail the corresponding author} ; Efstratia Kalfagianni^b ; ^{kalfagia@math.msu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：57M25 ; 57M27 ; 57M50
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：1 July 2016
• 年：2016
• 卷：207
• 期：Complete
• 页码：33-42
• 全文大小：369 K

文摘

Let K^′$K^{\prime }$ be a knot that admits no cosmetic crossing changes and let C be a non-trivial, prime, non-cable knot. Then any knot that is a satellite of C   with winding number zero and pattern K^′$K^{\prime }$ admits no cosmetic crossing changes. As a consequence we prove the nugatory crossing conjecture for Whitehead doubles of prime, non-cable knots.