Positive half of the Witt algebra acts on triply graded link homology
Abstract
The positive half of the Witt algebra is the Lie algebra spanned by vector fields xm+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.
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