Symmetries of equivariant Khovanov-Rozansky homology

Autor: Qi, You, Robert, Louis-Hadrien, Sussan, Joshua, Wagner, Emmanuel
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We construct an $\mathfrak{sl}_2$-action on equivariant $\mathfrak{gl}_N$-link homologies. As a consequence we obtain an action of $\mathfrak{sl}_2$ on these homologies as well as a $p$-DG structures for $p$ a prime number. We explore topological applications of these structures.
Comment: 53 pages, many figures. Comments welcome! 2nd version removes a mistakes in the topological applications of the construction
Databáze: arXiv