Year: 2026
Type: preprint
Abstract: We construct an action of the positive half of the Witt algebra on colored $\mathfrak{gl}_N$-Khovanov-Rozansky homology and prove that this action is compatible with the functoriality of colored link homology. To establish this result, we use Bar-Natan's framework of canopolies to formulate and prove the relevant statements at the level of tangles.
Source: arXiv (Cornell University)
Authors: Guérin, Alexis, Roz, Felix
Institutions: Université Clermont Auvergne, Columbia University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221563763