Construction of non-alternating knots
classification
🧮 math.GT
keywords
knotsboundnon-alternatingsharparbitrarybehaviourconstructioninteresting
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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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