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Licensed Unlicensed Requires Authentication Published by De Gruyter September 26, 2011

Cosmetic crossing changes of fibered knots

Kalfagianni Efstratia

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