Quandles and symmetric quandles for higher dimensional knots

Seiichi Kamada

Banach Center Publications (2014)

  • Volume: 103, Issue: 1, page 145-158
  • ISSN: 0137-6934

Abstract

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A symmetric quandle is a quandle with a good involution. For a knot in ℝ³, a knotted surface in ℝ⁴ or an n-manifold knot in n + 2 , the knot symmetric quandle is defined. We introduce the notion of a symmetric quandle presentation, and show how to get a presentation of a knot symmetric quandle from a diagram.

How to cite

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Seiichi Kamada. "Quandles and symmetric quandles for higher dimensional knots." Banach Center Publications 103.1 (2014): 145-158. <http://eudml.org/doc/286306>.

@article{SeiichiKamada2014,
abstract = {A symmetric quandle is a quandle with a good involution. For a knot in ℝ³, a knotted surface in ℝ⁴ or an n-manifold knot in $ℝ^\{n+2\}$, the knot symmetric quandle is defined. We introduce the notion of a symmetric quandle presentation, and show how to get a presentation of a knot symmetric quandle from a diagram.},
author = {Seiichi Kamada},
journal = {Banach Center Publications},
keywords = {quandles; symmetric quandles; surface knots; higher dimensional knots},
language = {eng},
number = {1},
pages = {145-158},
title = {Quandles and symmetric quandles for higher dimensional knots},
url = {http://eudml.org/doc/286306},
volume = {103},
year = {2014},
}

TY - JOUR
AU - Seiichi Kamada
TI - Quandles and symmetric quandles for higher dimensional knots
JO - Banach Center Publications
PY - 2014
VL - 103
IS - 1
SP - 145
EP - 158
AB - A symmetric quandle is a quandle with a good involution. For a knot in ℝ³, a knotted surface in ℝ⁴ or an n-manifold knot in $ℝ^{n+2}$, the knot symmetric quandle is defined. We introduce the notion of a symmetric quandle presentation, and show how to get a presentation of a knot symmetric quandle from a diagram.
LA - eng
KW - quandles; symmetric quandles; surface knots; higher dimensional knots
UR - http://eudml.org/doc/286306
ER -

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