An action of the Witt algebra on Khovanov-Rozansky homology

2025/01/31 by Guérin, Alexis, Roz, Felix · 2 citations
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2501.19096

Abstract

We construct an action of the positive part of the Witt algebra on the Khovanov-Rozansky \mathfrakgl_N-link homology and prove that this construction is functorial.

Cited by

• A local \mathfrakgl_1|1-action on odd Khovanov homology
• Action of the Witt algebra on categorified quantum groups

Related

• Positive half of the Witt algebra acts on triply graded link homology
• Symmetries of equivariant Khovanov-Rozansky homology
• A refinement of Khovanov-Rozansky link homology
• Tautological classes and symmetry in Khovanov-Rozansky homology
• Functoriality of Khovanov homology