Construction of non-alternating knots

Details Construction of non-alternating knots Construction of non-alternating knots

2006-02-06

arxiv.org/abs/math/0602092v2

Mathematics

Geometric Topology

5 pages, 3 figures, one remark added

Scientific paper

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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