Torus knots that cannot be untied by twisting.

Mohamed Ait Nouh; Akira Yasuhara

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 2, page 423-437
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Ait Nouh, Mohamed, and Yasuhara, Akira. "Torus knots that cannot be untied by twisting.." Revista Matemática Complutense 14.2 (2001): 423-437. <http://eudml.org/doc/44388>.

@article{AitNouh2001,
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.},
author = {Ait Nouh, Mohamed, Yasuhara, Akira},
journal = {Revista Matemática Complutense},
keywords = {3-variedades; Toros geométricos; Nudos topológicos; torus knot; Tristram’s -signature; ()-twisting},
language = {eng},
number = {2},
pages = {423-437},
title = {Torus knots that cannot be untied by twisting.},
url = {http://eudml.org/doc/44388},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Ait Nouh, Mohamed
AU - Yasuhara, Akira
TI - Torus knots that cannot be untied by twisting.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 2
SP - 423
EP - 437
AB - 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.
LA - eng
KW - 3-variedades; Toros geométricos; Nudos topológicos; torus knot; Tristram’s -signature; ()-twisting
UR - http://eudml.org/doc/44388
ER -

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