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arxiv: 1305.1642 · v1 · pith:XNTIKFHZnew · submitted 2013-05-07 · 🧮 math.QA

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

Mikhail Khovanov , Lev Rozansky This is my paper
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keywords algebrahomologylinkwittgradedhalfpositivetriply
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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.

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  1. Action of the Witt algebra on categorified quantum groups

    math.QA 2025-07 unverdicted novelty 6.0

    Constructs an action of the positive Witt algebra on categorified quantum groups for simply-laced Lie algebras, recovering the foam action in type A and inducing the current-algebra action via trace decategorification.