An ${\mathfrak{sl}}_2$ action on link homology of T(2,k) torus links

Abstract

We determine an ${\mathfrak{sl}}_2$ module structure on the equivariant Khovanov-Rozansky homology of (2,k)-torus links following the framework defined in arXiv:2306.10729.

arXiv comment22 pages. Section 6 completely rewritten. Accepted version to appear in Journal of Knot Theory and Its Ramifications