Knots without Cosmetic Crossings

نویسندگان

  • CHERYL JAEGER
  • E. KALFAGIANNI
چکیده

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 2014