Generalized n-colorings of links

Daniel Silver; Susan Williams

Banach Center Publications (1998)

  • Volume: 42, Issue: 1, page 381-394
  • ISSN: 0137-6934

Abstract

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The notion of an (n,r)-coloring for a link diagram generalizes the idea of an n-coloring introduced by R. H. Fox. For any positive integer n the various (n,r)-colorings of a diagram for an oriented link l correspond in a natural way to the periodic points of the representation shift Φ / n ( l ) of the link. The number of (n,r)-colorings of a diagram for a satellite knot is determined by the colorings of its pattern and companion knots together with the winding number.

How to cite

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Silver, Daniel, and Williams, Susan. "Generalized n-colorings of links." Banach Center Publications 42.1 (1998): 381-394. <http://eudml.org/doc/208818>.

@article{Silver1998,
abstract = {The notion of an (n,r)-coloring for a link diagram generalizes the idea of an n-coloring introduced by R. H. Fox. For any positive integer n the various (n,r)-colorings of a diagram for an oriented link l correspond in a natural way to the periodic points of the representation shift $Φ_\{/n\}(l)$ of the link. The number of (n,r)-colorings of a diagram for a satellite knot is determined by the colorings of its pattern and companion knots together with the winding number.},
author = {Silver, Daniel, Williams, Susan},
journal = {Banach Center Publications},
keywords = {-coloring; satellite knot},
language = {eng},
number = {1},
pages = {381-394},
title = {Generalized n-colorings of links},
url = {http://eudml.org/doc/208818},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Silver, Daniel
AU - Williams, Susan
TI - Generalized n-colorings of links
JO - Banach Center Publications
PY - 1998
VL - 42
IS - 1
SP - 381
EP - 394
AB - The notion of an (n,r)-coloring for a link diagram generalizes the idea of an n-coloring introduced by R. H. Fox. For any positive integer n the various (n,r)-colorings of a diagram for an oriented link l correspond in a natural way to the periodic points of the representation shift $Φ_{/n}(l)$ of the link. The number of (n,r)-colorings of a diagram for a satellite knot is determined by the colorings of its pattern and companion knots together with the winding number.
LA - eng
KW - -coloring; satellite knot
UR - http://eudml.org/doc/208818
ER -

References

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