Department of Mathematics University of Provence 39 rue F. Joliot-Curie 13453 Marseille cedex 13 — France | Department of Mathematics Tokyo Gakugei University Nukuikita 4-1-1, Koganei Tokyo 184-8501 — Japan |
ABSTRACT
We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.
2000 Mathematics Subject Classification: 57M25, 57M95.