Construction of non-alternating knots

Research paper by Sebastian Baader

Indexed on: 24 Feb '06Published on: 24 Feb '06Published in: Mathematics - Geometric Topology


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.