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.
@article{urn:eudml:doc:44388,
title = {Torus knots that cannot be untied by twisting.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {14},
year = {2001},
pages = {423-437},
zbl = {0991.57008},
mrnumber = {MR1871306},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44388}
}
Ait Nouh, Mohamed; Yasuhara, Akira. Torus knots that cannot be untied by twisting.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 423-437. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44388/