Resumen de Serre duality for Khovanov–Rozansky homology

Eugene Gorsky, Matthew Hogancamp, Anton Mellit, Keita Nakagane

• We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov–Rozansky homology, categorifying a theorem of Kálmán.