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Construction of non-alternating knots

Author: Sebastian Baader
Journal: Proc. Amer. Math. Soc. 135 (2007), 2633-2636
MSC (2000): Primary 57M27
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.

References [Enhancements On Off] (What's this?)

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Additional Information

Sebastian Baader
Affiliation: Mathematisches Institut, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland

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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