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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Construction of non-alternating knots


Author: Sebastian Baader
Journal: Proc. Amer. Math. Soc. 135 (2007), 2633-2636
MSC (2000): Primary 57M27
DOI: https://doi.org/10.1090/S0002-9939-07-08904-6
Published electronically: March 14, 2007
MathSciNet review: 2302586
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Abstract: We investigate the behaviour of Rasmussen's invariant $ s$ under the sharp operation on knots and obtain a lower bound for the sharp unknotting number. This bound leads us to an interesting move that transforms arbitrary knots into non-alternating knots.


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Additional Information

Sebastian Baader
Affiliation: Mathematisches Institut, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
Email: sebastian.baader@math.ethz.ch

DOI: https://doi.org/10.1090/S0002-9939-07-08904-6
Received by editor(s): March 6, 2006
Published electronically: March 14, 2007
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2007 American Mathematical Society

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