Kauffman polynomial
In knot theory, the Kauffman polynomial is a 2-variable knot polynomial due to Louis Kauffman. It is initially defined on a link diagram as , where is the writhe of the link diagram and is a polynomial in a and z defined on link diagrams by the following properties:
* (O is the unknot).
*
* L is unchanged under type II and III Reidemeister moves. Here is a strand and (resp. ) is the same strand with a right-handed (resp. left-handed) curl added (using a type I Reidemeister move). Additionally L must satisfy Kauffman's skein relation:
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Kauffman polynomial
In knot theory, the Kauffman polynomial is a 2-variable knot polynomial due to Louis Kauffman. It is initially defined on a link diagram as , where is the writhe of the link diagram and is a polynomial in a and z defined on link diagrams by the following properties:
* (O is the unknot).
*
* L is unchanged under type II and III Reidemeister moves. Here is a strand and (resp. ) is the same strand with a right-handed (resp. left-handed) curl added (using a type I Reidemeister move). Additionally L must satisfy Kauffman's skein relation:
has abstract
In knot theory, the Kauffman p ...... mons gauge theories for SU(N).
@en
Многочлен Кауфмана — многочлен ...... теорією Черна — Саймонса для .
@uk
Многочлен Кауфмана — многочлен ...... теорией Черна — Саймонса для .
@ru
在纽结理论中，考夫曼多项式（Kauffman polynom ...... 论给予夫曼多項式，SU(n)陈西理论给予HOMFLY多项式。
@zh
結び目理論におけるカウフマン多項式（カウフマンたこうしき、英 ...... するチャーン–シモンズゲージ理論に関係するのと同じ仕方で）。
@ja
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In knot theory, the Kauffman p ...... sfy Kauffman's skein relation:
@en
Многочлен Кауфмана — многочлен ...... скейн-співвідношенню Кауфмана:
@uk
Многочлен Кауфмана — многочлен ...... ть скейн-соотношению Кауфмана:
@ru
在纽结理论中，考夫曼多项式（Kauffman polynom ...... 论给予夫曼多項式，SU(n)陈西理论给予HOMFLY多项式。
@zh
結び目理論におけるカウフマン多項式（カウフマンたこうしき、英 ...... 。ここから容易に F が有向絡み目の不変量となることが従う。
@ja
label
Kauffman polynomial
@en
Многочлен Кауфмана
@ru
Многочлен Кауфмана
@uk
カウフマン多項式
@ja
考夫曼多項式
@zh
카우프먼 다항식
@ko