RMC - Vol. 14, Num. 2 - M. Ait Nouh/A. Yasuhara

Full paper in PDF:
$%M. Ait Nouh and A. Yasuhara, Torus knots that cannot be untied by twisting, Rev. Mat. Complut. 14 (2001), no. 2, 423–437.%$

Torus Knots that Cannot Be Untied by Twisting

Mohamed AIT NOUH and Akira YASUHARA

Department of Mathematics University of Provence 39 rue F. Joliot-Curie 13453 Marseille cedex 13 — France Mohamed.Aitnouh@cmi.univ-mrs.fr	Department of Mathematics Tokyo Gakugei University Nukuikita 4-1-1, Koganei Tokyo 184-8501 — Japan yasuhara@u-gakugei.ac.jp

Received: August 30, 2000
Accepted: March 14, 2001

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.