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Cosmetic crossing changes of fibered knots

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Veröffentlicht/Copyright: 26. September 2011

Abstract

We prove the nugatory crossing conjecture for fibered knots. We also show that if a knot K is n-adjacent to a fibered knot K′, for some n > 1, then either the genus of K is larger than that of K′ or K is isotopic to K′.

Received: 2010-04-20
Revised: 2011-01-17
Published Online: 2011-09-26
Published in Print: 2012-08

©[2012] by Walter de Gruyter Berlin Boston

Heruntergeladen am 18.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/CRELLE.2011.148/html
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