Positive half of the Witt algebra acts on triply graded link homology

Positive half of the Witt algebra acts on triply graded link homology
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维特代数的正半部作用于三级链接同源性

DOI:
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发表时间:
2013
期刊:
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通讯作者:
L. Rozansky
L. Rozansky
中科院分区:
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文献类型:
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作者:
M. Khovanov;L. Rozansky

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Witt代数的正半部分是由向量场x^{m+1} d/dx作为多项式代数Q[x]上的微分所张成的李代数,三阶化链同调的Soergel双模构造基于此。我们证明了Witt代数的这种作用可以推广到链同调上。
The positive half of the Witt algebra is the Lie algebra spanned by vector fields x^{m+1} d/dx acting as differentiations on the polynomial algebra Q[x] upon which the Soergel bimodule construction of triply graded link homology is based. We show that this action of Witt algebra can be extended to the link homology.