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Cosmetic crossing changes of fibered knots
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Kalfagianni Efstratia
Published/Copyright:
September 26, 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
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- String topology of classifying spaces
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Weak Neumann implies Stokes
- Quasi-isometric classification of non-geometric 3-manifold groups
- Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
- Cosmetic crossing changes of fibered knots
- Leavitt path algebras of separated graphs
- Brauer's height zero conjecture for the 2-blocks of maximal defect
Articles in the same Issue
- String topology of classifying spaces
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Weak Neumann implies Stokes
- Quasi-isometric classification of non-geometric 3-manifold groups
- Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
- Cosmetic crossing changes of fibered knots
- Leavitt path algebras of separated graphs
- Brauer's height zero conjecture for the 2-blocks of maximal defect
