Tangle decompositions of satellite knots.

Chuichiro Hayashi; Hiroshi Matsuda; Makoto Ozawa

Revista Matemática Complutense (1999)

  • Volume: 12, Issue: 2, page 417-437
  • ISSN: 1139-1138

Abstract

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We study when an essential tangle decomposition of a satellite knot gives an essential tangle decomposition of the companion knot, that is, when the decomposing sphere can be isotoped to intersect the knotted solid torus identified with the pattern in meridian disks.

How to cite

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Hayashi, Chuichiro, Matsuda, Hiroshi, and Ozawa, Makoto. "Tangle decompositions of satellite knots.." Revista Matemática Complutense 12.2 (1999): 417-437. <http://eudml.org/doc/44402>.

@article{Hayashi1999,
abstract = {We study when an essential tangle decomposition of a satellite knot gives an essential tangle decomposition of the companion knot, that is, when the decomposing sphere can be isotoped to intersect the knotted solid torus identified with the pattern in meridian disks.},
author = {Hayashi, Chuichiro, Matsuda, Hiroshi, Ozawa, Makoto},
journal = {Revista Matemática Complutense},
keywords = {Nudos topológicos; Geometría; Arcos; Espacio de lazos; Superficies isotópicas},
language = {eng},
number = {2},
pages = {417-437},
title = {Tangle decompositions of satellite knots.},
url = {http://eudml.org/doc/44402},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Hayashi, Chuichiro
AU - Matsuda, Hiroshi
AU - Ozawa, Makoto
TI - Tangle decompositions of satellite knots.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 2
SP - 417
EP - 437
AB - We study when an essential tangle decomposition of a satellite knot gives an essential tangle decomposition of the companion knot, that is, when the decomposing sphere can be isotoped to intersect the knotted solid torus identified with the pattern in meridian disks.
LA - eng
KW - Nudos topológicos; Geometría; Arcos; Espacio de lazos; Superficies isotópicas
UR - http://eudml.org/doc/44402
ER -

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